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Finding the Fourth Proportional to 283.20, 424.93 and 129.09

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Solution

The fourth proportional to 283.20, 424.93 and 129.09 is: 193.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.20 : 424.93 = 129.09 : x
  2. Step 2: Convert to fraction form
    283.20/424.93 = 129.09/x
  3. Step 3: Cross multiply
    283.20x = 424.93 × 129.09
  4. Step 4: Simplify right side
    283.20x = 54,855.73
  5. Step 5: Solve for x
    x = 54,855.73/283.20
  6. Step 6: Final answer
    x = 193.70

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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.