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Finding the Fourth Proportional to 282.96, 424.53 and 138.78

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Solution

The fourth proportional to 282.96, 424.53 and 138.78 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 424.53 = 138.78 : x
  2. Step 2: Convert to fraction form
    282.96/424.53 = 138.78/x
  3. Step 3: Cross multiply
    282.96x = 424.53 × 138.78
  4. Step 4: Simplify right side
    282.96x = 58,916.27
  5. Step 5: Solve for x
    x = 58,916.27/282.96
  6. Step 6: Final answer
    x = 208.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.