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Finding the Fourth Proportional to 215.11, 296.22 and 180.08

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Solution

The fourth proportional to 215.11, 296.22 and 180.08 is: 247.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.11 : 296.22 = 180.08 : x
  2. Step 2: Convert to fraction form
    215.11/296.22 = 180.08/x
  3. Step 3: Cross multiply
    215.11x = 296.22 × 180.08
  4. Step 4: Simplify right side
    215.11x = 53,343.30
  5. Step 5: Solve for x
    x = 53,343.30/215.11
  6. Step 6: Final answer
    x = 247.98

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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.