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Finding the Fourth Proportional to 282.06, 422.99 and 99.42

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Solution

The fourth proportional to 282.06, 422.99 and 99.42 is: 149.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.06 : 422.99 = 99.42 : x
  2. Step 2: Convert to fraction form
    282.06/422.99 = 99.42/x
  3. Step 3: Cross multiply
    282.06x = 422.99 × 99.42
  4. Step 4: Simplify right side
    282.06x = 42,053.17
  5. Step 5: Solve for x
    x = 42,053.17/282.06
  6. Step 6: Final answer
    x = 149.09

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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.