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Finding the Fourth Proportional to 285.28, 427.92 and 100.18

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Solution

The fourth proportional to 285.28, 427.92 and 100.18 is: 150.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.28 : 427.92 = 100.18 : x
  2. Step 2: Convert to fraction form
    285.28/427.92 = 100.18/x
  3. Step 3: Cross multiply
    285.28x = 427.92 × 100.18
  4. Step 4: Simplify right side
    285.28x = 42,869.03
  5. Step 5: Solve for x
    x = 42,869.03/285.28
  6. Step 6: Final answer
    x = 150.27

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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.