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Finding the Fourth Proportional to 318.11, 477.07 and 123.10

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Solution

The fourth proportional to 318.11, 477.07 and 123.10 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.11 : 477.07 = 123.10 : x
  2. Step 2: Convert to fraction form
    318.11/477.07 = 123.10/x
  3. Step 3: Cross multiply
    318.11x = 477.07 × 123.10
  4. Step 4: Simplify right side
    318.11x = 58,724.93
  5. Step 5: Solve for x
    x = 58,724.93/318.11
  6. Step 6: Final answer
    x = 184.61

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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.