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Finding the Fourth Proportional to 285.78, 428.70 and 93.36

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Solution

The fourth proportional to 285.78, 428.70 and 93.36 is: 140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.78 : 428.70 = 93.36 : x
  2. Step 2: Convert to fraction form
    285.78/428.70 = 93.36/x
  3. Step 3: Cross multiply
    285.78x = 428.70 × 93.36
  4. Step 4: Simplify right side
    285.78x = 40,023.43
  5. Step 5: Solve for x
    x = 40,023.43/285.78
  6. Step 6: Final answer
    x = 140.05

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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.