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Finding the Fourth Proportional to 318.47, 477.78 and 113.06

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Solution

The fourth proportional to 318.47, 477.78 and 113.06 is: 169.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 477.78 = 113.06 : x
  2. Step 2: Convert to fraction form
    318.47/477.78 = 113.06/x
  3. Step 3: Cross multiply
    318.47x = 477.78 × 113.06
  4. Step 4: Simplify right side
    318.47x = 54,019.21
  5. Step 5: Solve for x
    x = 54,019.21/318.47
  6. Step 6: Final answer
    x = 169.62

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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.