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Finding the Fourth Proportional to 285.52, 428.00 and 112.08

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Solution

The fourth proportional to 285.52, 428.00 and 112.08 is: 168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.52 : 428.00 = 112.08 : x
  2. Step 2: Convert to fraction form
    285.52/428.00 = 112.08/x
  3. Step 3: Cross multiply
    285.52x = 428.00 × 112.08
  4. Step 4: Simplify right side
    285.52x = 47,969.96
  5. Step 5: Solve for x
    x = 47,969.96/285.52
  6. Step 6: Final answer
    x = 168.01

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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.