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Finding the Fourth Proportional to 316.47, 473.97 and 162.02

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Solution

The fourth proportional to 316.47, 473.97 and 162.02 is: 242.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 473.97 = 162.02 : x
  2. Step 2: Convert to fraction form
    316.47/473.97 = 162.02/x
  3. Step 3: Cross multiply
    316.47x = 473.97 × 162.02
  4. Step 4: Simplify right side
    316.47x = 76,793.80
  5. Step 5: Solve for x
    x = 76,793.80/316.47
  6. Step 6: Final answer
    x = 242.66

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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.