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Finding the Fourth Proportional to 315.62, 473.45 and 142.25

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Solution

The fourth proportional to 315.62, 473.45 and 142.25 is: 213.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.62 : 473.45 = 142.25 : x
  2. Step 2: Convert to fraction form
    315.62/473.45 = 142.25/x
  3. Step 3: Cross multiply
    315.62x = 473.45 × 142.25
  4. Step 4: Simplify right side
    315.62x = 67,348.26
  5. Step 5: Solve for x
    x = 67,348.26/315.62
  6. Step 6: Final answer
    x = 213.38

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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.