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Finding the Fourth Proportional to 282.12, 422.82 and 158.55

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Solution

The fourth proportional to 282.12, 422.82 and 158.55 is: 237.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.12 : 422.82 = 158.55 : x
  2. Step 2: Convert to fraction form
    282.12/422.82 = 158.55/x
  3. Step 3: Cross multiply
    282.12x = 422.82 × 158.55
  4. Step 4: Simplify right side
    282.12x = 67,038.11
  5. Step 5: Solve for x
    x = 67,038.11/282.12
  6. Step 6: Final answer
    x = 237.62

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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.