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Finding the Fourth Proportional to 315.70, 473.34 and 161.53

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Solution

The fourth proportional to 315.70, 473.34 and 161.53 is: 242.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.70 : 473.34 = 161.53 : x
  2. Step 2: Convert to fraction form
    315.70/473.34 = 161.53/x
  3. Step 3: Cross multiply
    315.70x = 473.34 × 161.53
  4. Step 4: Simplify right side
    315.70x = 76,456.01
  5. Step 5: Solve for x
    x = 76,456.01/315.70
  6. Step 6: Final answer
    x = 242.18

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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.