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Finding the Fourth Proportional to 315.35, 472.70 and 142.11

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Solution

The fourth proportional to 315.35, 472.70 and 142.11 is: 213.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.35 : 472.70 = 142.11 : x
  2. Step 2: Convert to fraction form
    315.35/472.70 = 142.11/x
  3. Step 3: Cross multiply
    315.35x = 472.70 × 142.11
  4. Step 4: Simplify right side
    315.35x = 67,174.69
  5. Step 5: Solve for x
    x = 67,174.69/315.35
  6. Step 6: Final answer
    x = 213.02

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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.