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Finding the Fourth Proportional to 283.09, 424.68 and 129.08

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Solution

The fourth proportional to 283.09, 424.68 and 129.08 is: 193.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.09 : 424.68 = 129.08 : x
  2. Step 2: Convert to fraction form
    283.09/424.68 = 129.08/x
  3. Step 3: Cross multiply
    283.09x = 424.68 × 129.08
  4. Step 4: Simplify right side
    283.09x = 54,818.76
  5. Step 5: Solve for x
    x = 54,818.76/283.09
  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.