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Finding the Fourth Proportional to 322.40, 483.70 and 139.88

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Solution

The fourth proportional to 322.40, 483.70 and 139.88 is: 209.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 483.70 = 139.88 : x
  2. Step 2: Convert to fraction form
    322.40/483.70 = 139.88/x
  3. Step 3: Cross multiply
    322.40x = 483.70 × 139.88
  4. Step 4: Simplify right side
    322.40x = 67,659.96
  5. Step 5: Solve for x
    x = 67,659.96/322.40
  6. Step 6: Final answer
    x = 209.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.