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Finding the Fourth Proportional to 282.90, 424.38 and 95.21

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Solution

The fourth proportional to 282.90, 424.38 and 95.21 is: 142.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.90 : 424.38 = 95.21 : x
  2. Step 2: Convert to fraction form
    282.90/424.38 = 95.21/x
  3. Step 3: Cross multiply
    282.90x = 424.38 × 95.21
  4. Step 4: Simplify right side
    282.90x = 40,405.22
  5. Step 5: Solve for x
    x = 40,405.22/282.90
  6. Step 6: Final answer
    x = 142.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.