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Finding the Fourth Proportional to 318.70, 478.18 and 174.25

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Solution

The fourth proportional to 318.70, 478.18 and 174.25 is: 261.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.70 : 478.18 = 174.25 : x
  2. Step 2: Convert to fraction form
    318.70/478.18 = 174.25/x
  3. Step 3: Cross multiply
    318.70x = 478.18 × 174.25
  4. Step 4: Simplify right side
    318.70x = 83,320.47
  5. Step 5: Solve for x
    x = 83,320.47/318.70
  6. Step 6: Final answer
    x = 261.44

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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.