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Finding the Fourth Proportional to 282.30, 423.42 and 99.84

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Solution

The fourth proportional to 282.30, 423.42 and 99.84 is: 149.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.30 : 423.42 = 99.84 : x
  2. Step 2: Convert to fraction form
    282.30/423.42 = 99.84/x
  3. Step 3: Cross multiply
    282.30x = 423.42 × 99.84
  4. Step 4: Simplify right side
    282.30x = 42,274.25
  5. Step 5: Solve for x
    x = 42,274.25/282.30
  6. Step 6: Final answer
    x = 149.75

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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.