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Finding the Fourth Proportional to 285.66, 428.46 and 102.96

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Solution

The fourth proportional to 285.66, 428.46 and 102.96 is: 154.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.66 : 428.46 = 102.96 : x
  2. Step 2: Convert to fraction form
    285.66/428.46 = 102.96/x
  3. Step 3: Cross multiply
    285.66x = 428.46 × 102.96
  4. Step 4: Simplify right side
    285.66x = 44,114.24
  5. Step 5: Solve for x
    x = 44,114.24/285.66
  6. Step 6: Final answer
    x = 154.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.