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Finding the Fourth Proportional to 316.13, 473.90 and 162.24

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Solution

The fourth proportional to 316.13, 473.90 and 162.24 is: 243.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.13 : 473.90 = 162.24 : x
  2. Step 2: Convert to fraction form
    316.13/473.90 = 162.24/x
  3. Step 3: Cross multiply
    316.13x = 473.90 × 162.24
  4. Step 4: Simplify right side
    316.13x = 76,884.72
  5. Step 5: Solve for x
    x = 76,884.72/316.13
  6. Step 6: Final answer
    x = 243.21

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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.