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Finding the Fourth Proportional to 282.04, 422.70 and 160.05

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Solution

The fourth proportional to 282.04, 422.70 and 160.05 is: 239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.04 : 422.70 = 160.05 : x
  2. Step 2: Convert to fraction form
    282.04/422.70 = 160.05/x
  3. Step 3: Cross multiply
    282.04x = 422.70 × 160.05
  4. Step 4: Simplify right side
    282.04x = 67,652.15
  5. Step 5: Solve for x
    x = 67,652.15/282.04
  6. Step 6: Final answer
    x = 239.87

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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.