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Finding the Fourth Proportional to 322.71, 484.13 and 140.19

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Solution

The fourth proportional to 322.71, 484.13 and 140.19 is: 210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.71 : 484.13 = 140.19 : x
  2. Step 2: Convert to fraction form
    322.71/484.13 = 140.19/x
  3. Step 3: Cross multiply
    322.71x = 484.13 × 140.19
  4. Step 4: Simplify right side
    322.71x = 67,870.18
  5. Step 5: Solve for x
    x = 67,870.18/322.71
  6. Step 6: Final answer
    x = 210.31

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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.