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Finding the Fourth Proportional to 334, 460.80 and 194.08

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Solution

The fourth proportional to 334, 460.80 and 194.08 is: 267.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    334 : 460.80 = 194.08 : x
  2. Step 2: Convert to fraction form
    334/460.80 = 194.08/x
  3. Step 3: Cross multiply
    334x = 460.80 × 194.08
  4. Step 4: Simplify right side
    334x = 89,432.06
  5. Step 5: Solve for x
    x = 89,432.06/334
  6. Step 6: Final answer
    x = 267.76

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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.