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Finding the Fourth Proportional to 171.38, 256.88 and 117.02

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Solution

The fourth proportional to 171.38, 256.88 and 117.02 is: 175.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    171.38 : 256.88 = 117.02 : x
  2. Step 2: Convert to fraction form
    171.38/256.88 = 117.02/x
  3. Step 3: Cross multiply
    171.38x = 256.88 × 117.02
  4. Step 4: Simplify right side
    171.38x = 30,060.10
  5. Step 5: Solve for x
    x = 30,060.10/171.38
  6. Step 6: Final answer
    x = 175.40

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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.