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Finding the Fourth Proportional to 337.24, 505.86 and 106.12

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Solution

The fourth proportional to 337.24, 505.86 and 106.12 is: 159.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.24 : 505.86 = 106.12 : x
  2. Step 2: Convert to fraction form
    337.24/505.86 = 106.12/x
  3. Step 3: Cross multiply
    337.24x = 505.86 × 106.12
  4. Step 4: Simplify right side
    337.24x = 53,678.80
  5. Step 5: Solve for x
    x = 53,678.80/337.24
  6. Step 6: Final answer
    x = 159.17

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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.