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Finding the Fourth Proportional to 322.40, 483.30 and 130.16

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Solution

The fourth proportional to 322.40, 483.30 and 130.16 is: 195.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    322.40 : 483.30 = 130.16 : x
  2. Step 2: Convert to fraction form
    322.40/483.30 = 130.16/x
  3. Step 3: Cross multiply
    322.40x = 483.30 × 130.16
  4. Step 4: Simplify right side
    322.40x = 62,906.33
  5. Step 5: Solve for x
    x = 62,906.33/322.40
  6. Step 6: Final answer
    x = 195.12

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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.