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Finding the Fourth Proportional to 282.55, 423.78 and 77.13

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Solution

The fourth proportional to 282.55, 423.78 and 77.13 is: 115.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.55 : 423.78 = 77.13 : x
  2. Step 2: Convert to fraction form
    282.55/423.78 = 77.13/x
  3. Step 3: Cross multiply
    282.55x = 423.78 × 77.13
  4. Step 4: Simplify right side
    282.55x = 32,686.30
  5. Step 5: Solve for x
    x = 32,686.30/282.55
  6. Step 6: Final answer
    x = 115.68

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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.