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Finding the Fourth Proportional to 217.84, 301.08 and 193.76

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Solution

The fourth proportional to 217.84, 301.08 and 193.76 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.84 : 301.08 = 193.76 : x
  2. Step 2: Convert to fraction form
    217.84/301.08 = 193.76/x
  3. Step 3: Cross multiply
    217.84x = 301.08 × 193.76
  4. Step 4: Simplify right side
    217.84x = 58,337.26
  5. Step 5: Solve for x
    x = 58,337.26/217.84
  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.