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Finding the Fourth Proportional to 316.14, 474.15 and 179.11

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Solution

The fourth proportional to 316.14, 474.15 and 179.11 is: 268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.14 : 474.15 = 179.11 : x
  2. Step 2: Convert to fraction form
    316.14/474.15 = 179.11/x
  3. Step 3: Cross multiply
    316.14x = 474.15 × 179.11
  4. Step 4: Simplify right side
    316.14x = 84,926.27
  5. Step 5: Solve for x
    x = 84,926.27/316.14
  6. Step 6: Final answer
    x = 268.64

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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.