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Finding the Fourth Proportional to 796.16, 1,194.42 and 248.40

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Solution

The fourth proportional to 796.16, 1,194.42 and 248.40 is: 372.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.16 : 1,194.42 = 248.40 : x
  2. Step 2: Convert to fraction form
    796.16/1,194.42 = 248.40/x
  3. Step 3: Cross multiply
    796.16x = 1,194.42 × 248.40
  4. Step 4: Simplify right side
    796.16x = 296,693.93
  5. Step 5: Solve for x
    x = 296,693.93/796.16
  6. Step 6: Final answer
    x = 372.66

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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.