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Finding the Fourth Proportional to 215.89, 297.84 and 142.24

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Solution

The fourth proportional to 215.89, 297.84 and 142.24 is: 196.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.89 : 297.84 = 142.24 : x
  2. Step 2: Convert to fraction form
    215.89/297.84 = 142.24/x
  3. Step 3: Cross multiply
    215.89x = 297.84 × 142.24
  4. Step 4: Simplify right side
    215.89x = 42,364.76
  5. Step 5: Solve for x
    x = 42,364.76/215.89
  6. Step 6: Final answer
    x = 196.23

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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.