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Finding the Fourth Proportional to 215.11, 296.57 and 180.09

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Solution

The fourth proportional to 215.11, 296.57 and 180.09 is: 248.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.11 : 296.57 = 180.09 : x
  2. Step 2: Convert to fraction form
    215.11/296.57 = 180.09/x
  3. Step 3: Cross multiply
    215.11x = 296.57 × 180.09
  4. Step 4: Simplify right side
    215.11x = 53,407.89
  5. Step 5: Solve for x
    x = 53,407.89/215.11
  6. Step 6: Final answer
    x = 248.28

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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.