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Finding the Fourth Proportional to 282.18, 422.52 and 241.14

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Solution

The fourth proportional to 282.18, 422.52 and 241.14 is: 361.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.18 : 422.52 = 241.14 : x
  2. Step 2: Convert to fraction form
    282.18/422.52 = 241.14/x
  3. Step 3: Cross multiply
    282.18x = 422.52 × 241.14
  4. Step 4: Simplify right side
    282.18x = 101,886.47
  5. Step 5: Solve for x
    x = 101,886.47/282.18
  6. Step 6: Final answer
    x = 361.07

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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.