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Finding the Fourth Proportional to 316.76, 475.14 and 178.82

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Solution

The fourth proportional to 316.76, 475.14 and 178.82 is: 268.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.76 : 475.14 = 178.82 : x
  2. Step 2: Convert to fraction form
    316.76/475.14 = 178.82/x
  3. Step 3: Cross multiply
    316.76x = 475.14 × 178.82
  4. Step 4: Simplify right side
    316.76x = 84,962.16
  5. Step 5: Solve for x
    x = 84,962.16/316.76
  6. Step 6: Final answer
    x = 268.23

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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.