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Finding the Fourth Proportional to 825.32, 1,238.18 and 248.19

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Solution

The fourth proportional to 825.32, 1,238.18 and 248.19 is: 372.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.32 : 1,238.18 = 248.19 : x
  2. Step 2: Convert to fraction form
    825.32/1,238.18 = 248.19/x
  3. Step 3: Cross multiply
    825.32x = 1,238.18 × 248.19
  4. Step 4: Simplify right side
    825.32x = 307,302.65
  5. Step 5: Solve for x
    x = 307,302.65/825.32
  6. Step 6: Final answer
    x = 372.35

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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.