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Finding the Fourth Proportional to 285.78, 428.67 and 103.15

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Solution

The fourth proportional to 285.78, 428.67 and 103.15 is: 154.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.67 = 103.15 : x
  2. Step 2: Convert to fraction form
    285.78/428.67 = 103.15/x
  3. Step 3: Cross multiply
    285.78x = 428.67 × 103.15
  4. Step 4: Simplify right side
    285.78x = 44,216.35
  5. Step 5: Solve for x
    x = 44,216.35/285.78
  6. Step 6: Final answer
    x = 154.72

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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.