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Finding the Fourth Proportional to 282.11, 423.48 and 160.52

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Solution

The fourth proportional to 282.11, 423.48 and 160.52 is: 240.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.11 : 423.48 = 160.52 : x
  2. Step 2: Convert to fraction form
    282.11/423.48 = 160.52/x
  3. Step 3: Cross multiply
    282.11x = 423.48 × 160.52
  4. Step 4: Simplify right side
    282.11x = 67,977.01
  5. Step 5: Solve for x
    x = 67,977.01/282.11
  6. Step 6: Final answer
    x = 240.96

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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.