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Finding the Fourth Proportional to 610.03, 914.87 and 171.25

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Solution

The fourth proportional to 610.03, 914.87 and 171.25 is: 256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.03 : 914.87 = 171.25 : x
  2. Step 2: Convert to fraction form
    610.03/914.87 = 171.25/x
  3. Step 3: Cross multiply
    610.03x = 914.87 × 171.25
  4. Step 4: Simplify right side
    610.03x = 156,671.49
  5. Step 5: Solve for x
    x = 156,671.49/610.03
  6. Step 6: Final answer
    x = 256.83

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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.