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Finding the Fourth Proportional to 285.77, 428.70 and 110.15

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Solution

The fourth proportional to 285.77, 428.70 and 110.15 is: 165.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    285.77 : 428.70 = 110.15 : x
  2. Step 2: Convert to fraction form
    285.77/428.70 = 110.15/x
  3. Step 3: Cross multiply
    285.77x = 428.70 × 110.15
  4. Step 4: Simplify right side
    285.77x = 47,220.75
  5. Step 5: Solve for x
    x = 47,220.75/285.77
  6. Step 6: Final answer
    x = 165.24

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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.