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Finding the Fourth Proportional to 318.69, 478.17 and 174.39

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Solution

The fourth proportional to 318.69, 478.17 and 174.39 is: 261.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.69 : 478.17 = 174.39 : x
  2. Step 2: Convert to fraction form
    318.69/478.17 = 174.39/x
  3. Step 3: Cross multiply
    318.69x = 478.17 × 174.39
  4. Step 4: Simplify right side
    318.69x = 83,388.07
  5. Step 5: Solve for x
    x = 83,388.07/318.69
  6. Step 6: Final answer
    x = 261.66

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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.