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Finding the Fourth Proportional to 215.34, 296.28 and 194.64

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Solution

The fourth proportional to 215.34, 296.28 and 194.64 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.34 : 296.28 = 194.64 : x
  2. Step 2: Convert to fraction form
    215.34/296.28 = 194.64/x
  3. Step 3: Cross multiply
    215.34x = 296.28 × 194.64
  4. Step 4: Simplify right side
    215.34x = 57,667.94
  5. Step 5: Solve for x
    x = 57,667.94/215.34
  6. Step 6: Final answer
    x = 267.80

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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.