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Finding the Fourth Proportional to 282.96, 424.44 and 77.56

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Solution

The fourth proportional to 282.96, 424.44 and 77.56 is: 116.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.96 : 424.44 = 77.56 : x
  2. Step 2: Convert to fraction form
    282.96/424.44 = 77.56/x
  3. Step 3: Cross multiply
    282.96x = 424.44 × 77.56
  4. Step 4: Simplify right side
    282.96x = 32,920.42
  5. Step 5: Solve for x
    x = 32,920.42/282.96
  6. Step 6: Final answer
    x = 116.34

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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.