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Finding the Fourth Proportional to 315.93, 473.96 and 142.56

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Solution

The fourth proportional to 315.93, 473.96 and 142.56 is: 213.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    315.93 : 473.96 = 142.56 : x
  2. Step 2: Convert to fraction form
    315.93/473.96 = 142.56/x
  3. Step 3: Cross multiply
    315.93x = 473.96 × 142.56
  4. Step 4: Simplify right side
    315.93x = 67,567.74
  5. Step 5: Solve for x
    x = 67,567.74/315.93
  6. Step 6: Final answer
    x = 213.87

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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.