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Finding the Fourth Proportional to 318.66, 477.78 and 174.48

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Solution

The fourth proportional to 318.66, 477.78 and 174.48 is: 261.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.66 : 477.78 = 174.48 : x
  2. Step 2: Convert to fraction form
    318.66/477.78 = 174.48/x
  3. Step 3: Cross multiply
    318.66x = 477.78 × 174.48
  4. Step 4: Simplify right side
    318.66x = 83,363.05
  5. Step 5: Solve for x
    x = 83,363.05/318.66
  6. Step 6: Final answer
    x = 261.61

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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.