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Finding the Fourth Proportional to 833.12, 1,249.74 and 248.18

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Solution

The fourth proportional to 833.12, 1,249.74 and 248.18 is: 372.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    833.12 : 1,249.74 = 248.18 : x
  2. Step 2: Convert to fraction form
    833.12/1,249.74 = 248.18/x
  3. Step 3: Cross multiply
    833.12x = 1,249.74 × 248.18
  4. Step 4: Simplify right side
    833.12x = 310,160.47
  5. Step 5: Solve for x
    x = 310,160.47/833.12
  6. Step 6: Final answer
    x = 372.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.