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Finding the Fourth Proportional to 215.88, 297.28 and 180.76

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Solution

The fourth proportional to 215.88, 297.28 and 180.76 is: 248.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.88 : 297.28 = 180.76 : x
  2. Step 2: Convert to fraction form
    215.88/297.28 = 180.76/x
  3. Step 3: Cross multiply
    215.88x = 297.28 × 180.76
  4. Step 4: Simplify right side
    215.88x = 53,736.33
  5. Step 5: Solve for x
    x = 53,736.33/215.88
  6. Step 6: Final answer
    x = 248.92

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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.