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Finding the Fourth Proportional to 282.56, 424.00 and 160.92

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Solution

The fourth proportional to 282.56, 424.00 and 160.92 is: 241.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.56 : 424.00 = 160.92 : x
  2. Step 2: Convert to fraction form
    282.56/424.00 = 160.92/x
  3. Step 3: Cross multiply
    282.56x = 424.00 × 160.92
  4. Step 4: Simplify right side
    282.56x = 68,230.28
  5. Step 5: Solve for x
    x = 68,230.28/282.56
  6. Step 6: Final answer
    x = 241.48

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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.