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Finding the Fourth Proportional to 215.52, 296.22 and 193.14

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Solution

The fourth proportional to 215.52, 296.22 and 193.14 is: 265.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.52 : 296.22 = 193.14 : x
  2. Step 2: Convert to fraction form
    215.52/296.22 = 193.14/x
  3. Step 3: Cross multiply
    215.52x = 296.22 × 193.14
  4. Step 4: Simplify right side
    215.52x = 57,211.93
  5. Step 5: Solve for x
    x = 57,211.93/215.52
  6. Step 6: Final answer
    x = 265.46

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.