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Finding the Fourth Proportional to 257.57, 355.43 and 147.06

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Solution

The fourth proportional to 257.57, 355.43 and 147.06 is: 202.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.57 : 355.43 = 147.06 : x
  2. Step 2: Convert to fraction form
    257.57/355.43 = 147.06/x
  3. Step 3: Cross multiply
    257.57x = 355.43 × 147.06
  4. Step 4: Simplify right side
    257.57x = 52,268.80
  5. Step 5: Solve for x
    x = 52,268.80/257.57
  6. Step 6: Final answer
    x = 202.93

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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.