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Finding the Fourth Proportional to 257.69, 355.65 and 147.16

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Solution

The fourth proportional to 257.69, 355.65 and 147.16 is: 203.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 355.65 = 147.16 : x
  2. Step 2: Convert to fraction form
    257.69/355.65 = 147.16/x
  3. Step 3: Cross multiply
    257.69x = 355.65 × 147.16
  4. Step 4: Simplify right side
    257.69x = 52,337.35
  5. Step 5: Solve for x
    x = 52,337.35/257.69
  6. Step 6: Final answer
    x = 203.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.