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Finding the Fourth Proportional to 345.32, 517.87 and 101.78

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Solution

The fourth proportional to 345.32, 517.87 and 101.78 is: 152.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.32 : 517.87 = 101.78 : x
  2. Step 2: Convert to fraction form
    345.32/517.87 = 101.78/x
  3. Step 3: Cross multiply
    345.32x = 517.87 × 101.78
  4. Step 4: Simplify right side
    345.32x = 52,708.30
  5. Step 5: Solve for x
    x = 52,708.30/345.32
  6. Step 6: Final answer
    x = 152.64

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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.