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Finding the Fourth Proportional to 316.46, 474.62 and 179.76

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Solution

The fourth proportional to 316.46, 474.62 and 179.76 is: 269.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.46 : 474.62 = 179.76 : x
  2. Step 2: Convert to fraction form
    316.46/474.62 = 179.76/x
  3. Step 3: Cross multiply
    316.46x = 474.62 × 179.76
  4. Step 4: Simplify right side
    316.46x = 85,316.79
  5. Step 5: Solve for x
    x = 85,316.79/316.46
  6. Step 6: Final answer
    x = 269.60

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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.