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Finding the Fourth Proportional to 322.85, 483.80 and 160.20

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Solution

The fourth proportional to 322.85, 483.80 and 160.20 is: 240.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.85 : 483.80 = 160.20 : x
  2. Step 2: Convert to fraction form
    322.85/483.80 = 160.20/x
  3. Step 3: Cross multiply
    322.85x = 483.80 × 160.20
  4. Step 4: Simplify right side
    322.85x = 77,505.77
  5. Step 5: Solve for x
    x = 77,505.77/322.85
  6. Step 6: Final answer
    x = 240.07

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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.