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Finding the Fourth Proportional to 318.65, 477.95 and 102.20

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Solution

The fourth proportional to 318.65, 477.95 and 102.20 is: 153.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.65 : 477.95 = 102.20 : x
  2. Step 2: Convert to fraction form
    318.65/477.95 = 102.20/x
  3. Step 3: Cross multiply
    318.65x = 477.95 × 102.20
  4. Step 4: Simplify right side
    318.65x = 48,847.17
  5. Step 5: Solve for x
    x = 48,847.17/318.65
  6. Step 6: Final answer
    x = 153.30

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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.