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Finding the Fourth Proportional to 285.72, 428.62 and 148.78

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Solution

The fourth proportional to 285.72, 428.62 and 148.78 is: 223.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.72 : 428.62 = 148.78 : x
  2. Step 2: Convert to fraction form
    285.72/428.62 = 148.78/x
  3. Step 3: Cross multiply
    285.72x = 428.62 × 148.78
  4. Step 4: Simplify right side
    285.72x = 63,770.08
  5. Step 5: Solve for x
    x = 63,770.08/285.72
  6. Step 6: Final answer
    x = 223.19

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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.