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Finding the Fourth Proportional to 282.66, 423.98 and 138.25

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Solution

The fourth proportional to 282.66, 423.98 and 138.25 is: 207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.66 : 423.98 = 138.25 : x
  2. Step 2: Convert to fraction form
    282.66/423.98 = 138.25/x
  3. Step 3: Cross multiply
    282.66x = 423.98 × 138.25
  4. Step 4: Simplify right side
    282.66x = 58,615.24
  5. Step 5: Solve for x
    x = 58,615.24/282.66
  6. Step 6: Final answer
    x = 207.37

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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.