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Finding the Fourth Proportional to 257.38, 355.21 and 146.86

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Solution

The fourth proportional to 257.38, 355.21 and 146.86 is: 202.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.38 : 355.21 = 146.86 : x
  2. Step 2: Convert to fraction form
    257.38/355.21 = 146.86/x
  3. Step 3: Cross multiply
    257.38x = 355.21 × 146.86
  4. Step 4: Simplify right side
    257.38x = 52,164.89
  5. Step 5: Solve for x
    x = 52,164.89/257.38
  6. Step 6: Final answer
    x = 202.68

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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.