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Finding the Fourth Proportional to 215.52, 297.76 and 142.08

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Solution

The fourth proportional to 215.52, 297.76 and 142.08 is: 196.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 297.76 = 142.08 : x
  2. Step 2: Convert to fraction form
    215.52/297.76 = 142.08/x
  3. Step 3: Cross multiply
    215.52x = 297.76 × 142.08
  4. Step 4: Simplify right side
    215.52x = 42,305.74
  5. Step 5: Solve for x
    x = 42,305.74/215.52
  6. Step 6: Final answer
    x = 196.30

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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.