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Finding the Fourth Proportional to 285.56, 428.46 and 148.70

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Solution

The fourth proportional to 285.56, 428.46 and 148.70 is: 223.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.56 : 428.46 = 148.70 : x
  2. Step 2: Convert to fraction form
    285.56/428.46 = 148.70/x
  3. Step 3: Cross multiply
    285.56x = 428.46 × 148.70
  4. Step 4: Simplify right side
    285.56x = 63,712.00
  5. Step 5: Solve for x
    x = 63,712.00/285.56
  6. Step 6: Final answer
    x = 223.11

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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.