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Finding the Fourth Proportional to 215.93, 297.67 and 142.12

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Solution

The fourth proportional to 215.93, 297.67 and 142.12 is: 195.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.93 : 297.67 = 142.12 : x
  2. Step 2: Convert to fraction form
    215.93/297.67 = 142.12/x
  3. Step 3: Cross multiply
    215.93x = 297.67 × 142.12
  4. Step 4: Simplify right side
    215.93x = 42,304.86
  5. Step 5: Solve for x
    x = 42,304.86/215.93
  6. Step 6: Final answer
    x = 195.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.