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Finding the Fourth Proportional to 193.84, 267.57 and 147.21

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Solution

The fourth proportional to 193.84, 267.57 and 147.21 is: 203.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    193.84 : 267.57 = 147.21 : x
  2. Step 2: Convert to fraction form
    193.84/267.57 = 147.21/x
  3. Step 3: Cross multiply
    193.84x = 267.57 × 147.21
  4. Step 4: Simplify right side
    193.84x = 39,387.98
  5. Step 5: Solve for x
    x = 39,387.98/193.84
  6. Step 6: Final answer
    x = 203.20

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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.