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Finding the Fourth Proportional to 316.42, 474.65 and 179.53

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Solution

The fourth proportional to 316.42, 474.65 and 179.53 is: 269.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.42 : 474.65 = 179.53 : x
  2. Step 2: Convert to fraction form
    316.42/474.65 = 179.53/x
  3. Step 3: Cross multiply
    316.42x = 474.65 × 179.53
  4. Step 4: Simplify right side
    316.42x = 85,213.91
  5. Step 5: Solve for x
    x = 85,213.91/316.42
  6. Step 6: Final answer
    x = 269.31

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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.