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Finding the Fourth Proportional to 321.47, 482.23 and 129.10

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Solution

The fourth proportional to 321.47, 482.23 and 129.10 is: 193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    321.47 : 482.23 = 129.10 : x
  2. Step 2: Convert to fraction form
    321.47/482.23 = 129.10/x
  3. Step 3: Cross multiply
    321.47x = 482.23 × 129.10
  4. Step 4: Simplify right side
    321.47x = 62,252.84
  5. Step 5: Solve for x
    x = 62,252.84/321.47
  6. Step 6: Final answer
    x = 193.65

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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.