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Finding the Fourth Proportional to 318.80, 477.97 and 123.80

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Solution

The fourth proportional to 318.80, 477.97 and 123.80 is: 185.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.80 : 477.97 = 123.80 : x
  2. Step 2: Convert to fraction form
    318.80/477.97 = 123.80/x
  3. Step 3: Cross multiply
    318.80x = 477.97 × 123.80
  4. Step 4: Simplify right side
    318.80x = 59,169.99
  5. Step 5: Solve for x
    x = 59,169.99/318.80
  6. Step 6: Final answer
    x = 185.60

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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.