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Finding the Fourth Proportional to 243.42, 334.76 and 194.21

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Solution

The fourth proportional to 243.42, 334.76 and 194.21 is: 267.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.42 : 334.76 = 194.21 : x
  2. Step 2: Convert to fraction form
    243.42/334.76 = 194.21/x
  3. Step 3: Cross multiply
    243.42x = 334.76 × 194.21
  4. Step 4: Simplify right side
    243.42x = 65,013.74
  5. Step 5: Solve for x
    x = 65,013.74/243.42
  6. Step 6: Final answer
    x = 267.08

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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.