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Finding the Fourth Proportional to 334.05, 460.87 and 194.16

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Solution

The fourth proportional to 334.05, 460.87 and 194.16 is: 267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.05 : 460.87 = 194.16 : x
  2. Step 2: Convert to fraction form
    334.05/460.87 = 194.16/x
  3. Step 3: Cross multiply
    334.05x = 460.87 × 194.16
  4. Step 4: Simplify right side
    334.05x = 89,482.03
  5. Step 5: Solve for x
    x = 89,482.03/334.05
  6. Step 6: Final answer
    x = 267.87

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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.