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Finding the Fourth Proportional to 316.02, 473.12 and 178.70

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Solution

The fourth proportional to 316.02, 473.12 and 178.70 is: 267.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.02 : 473.12 = 178.70 : x
  2. Step 2: Convert to fraction form
    316.02/473.12 = 178.70/x
  3. Step 3: Cross multiply
    316.02x = 473.12 × 178.70
  4. Step 4: Simplify right side
    316.02x = 84,546.54
  5. Step 5: Solve for x
    x = 84,546.54/316.02
  6. Step 6: Final answer
    x = 267.54

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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.