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Finding the Fourth Proportional to 316.74, 475.34 and 177.78

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Solution

The fourth proportional to 316.74, 475.34 and 177.78 is: 266.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.74 : 475.34 = 177.78 : x
  2. Step 2: Convert to fraction form
    316.74/475.34 = 177.78/x
  3. Step 3: Cross multiply
    316.74x = 475.34 × 177.78
  4. Step 4: Simplify right side
    316.74x = 84,505.95
  5. Step 5: Solve for x
    x = 84,505.95/316.74
  6. Step 6: Final answer
    x = 266.80

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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.