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Finding the Fourth Proportional to 282.50, 423.79 and 99.87

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Solution

The fourth proportional to 282.50, 423.79 and 99.87 is: 149.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.50 : 423.79 = 99.87 : x
  2. Step 2: Convert to fraction form
    282.50/423.79 = 99.87/x
  3. Step 3: Cross multiply
    282.50x = 423.79 × 99.87
  4. Step 4: Simplify right side
    282.50x = 42,323.91
  5. Step 5: Solve for x
    x = 42,323.91/282.50
  6. Step 6: Final answer
    x = 149.82

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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.