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Finding the Fourth Proportional to 257.74, 355.74 and 147.26

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Solution

The fourth proportional to 257.74, 355.74 and 147.26 is: 203.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.74 : 355.74 = 147.26 : x
  2. Step 2: Convert to fraction form
    257.74/355.74 = 147.26/x
  3. Step 3: Cross multiply
    257.74x = 355.74 × 147.26
  4. Step 4: Simplify right side
    257.74x = 52,386.27
  5. Step 5: Solve for x
    x = 52,386.27/257.74
  6. Step 6: Final answer
    x = 203.25

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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.