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Finding the Fourth Proportional to 322.57, 483.90 and 106.13

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Solution

The fourth proportional to 322.57, 483.90 and 106.13 is: 159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.57 : 483.90 = 106.13 : x
  2. Step 2: Convert to fraction form
    322.57/483.90 = 106.13/x
  3. Step 3: Cross multiply
    322.57x = 483.90 × 106.13
  4. Step 4: Simplify right side
    322.57x = 51,353.89
  5. Step 5: Solve for x
    x = 51,353.89/322.57
  6. Step 6: Final answer
    x = 159.20

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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.