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Finding the Fourth Proportional to 318.14, 477.24 and 107.06

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Solution

The fourth proportional to 318.14, 477.24 and 107.06 is: 160.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.14 : 477.24 = 107.06 : x
  2. Step 2: Convert to fraction form
    318.14/477.24 = 107.06/x
  3. Step 3: Cross multiply
    318.14x = 477.24 × 107.06
  4. Step 4: Simplify right side
    318.14x = 51,093.31
  5. Step 5: Solve for x
    x = 51,093.31/318.14
  6. Step 6: Final answer
    x = 160.60

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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.