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Finding the Fourth Proportional to 171.38, 257.16 and 90.20

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Solution

The fourth proportional to 171.38, 257.16 and 90.20 is: 135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 257.16 = 90.20 : x
  2. Step 2: Convert to fraction form
    171.38/257.16 = 90.20/x
  3. Step 3: Cross multiply
    171.38x = 257.16 × 90.20
  4. Step 4: Simplify right side
    171.38x = 23,195.83
  5. Step 5: Solve for x
    x = 23,195.83/171.38
  6. Step 6: Final answer
    x = 135.35

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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.