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Finding the Fourth Proportional to 345.38, 518.00 and 101.86

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Solution

The fourth proportional to 345.38, 518.00 and 101.86 is: 152.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.38 : 518.00 = 101.86 : x
  2. Step 2: Convert to fraction form
    345.38/518.00 = 101.86/x
  3. Step 3: Cross multiply
    345.38x = 518.00 × 101.86
  4. Step 4: Simplify right side
    345.38x = 52,761.68
  5. Step 5: Solve for x
    x = 52,761.68/345.38
  6. Step 6: Final answer
    x = 152.77

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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.