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Finding the Fourth Proportional to 282.57, 424.65 and 167.03

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Solution

The fourth proportional to 282.57, 424.65 and 167.03 is: 251.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.57 : 424.65 = 167.03 : x
  2. Step 2: Convert to fraction form
    282.57/424.65 = 167.03/x
  3. Step 3: Cross multiply
    282.57x = 424.65 × 167.03
  4. Step 4: Simplify right side
    282.57x = 70,927.17
  5. Step 5: Solve for x
    x = 70,927.17/282.57
  6. Step 6: Final answer
    x = 251.01

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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.