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Finding the Fourth Proportional to 215.44, 296.59 and 193.57

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Solution

The fourth proportional to 215.44, 296.59 and 193.57 is: 266.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.44 : 296.59 = 193.57 : x
  2. Step 2: Convert to fraction form
    215.44/296.59 = 193.57/x
  3. Step 3: Cross multiply
    215.44x = 296.59 × 193.57
  4. Step 4: Simplify right side
    215.44x = 57,410.93
  5. Step 5: Solve for x
    x = 57,410.93/215.44
  6. Step 6: Final answer
    x = 266.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.