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Finding the Fourth Proportional to 334.12, 460.98 and 194.28

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Solution

The fourth proportional to 334.12, 460.98 and 194.28 is: 268.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    334.12 : 460.98 = 194.28 : x
  2. Step 2: Convert to fraction form
    334.12/460.98 = 194.28/x
  3. Step 3: Cross multiply
    334.12x = 460.98 × 194.28
  4. Step 4: Simplify right side
    334.12x = 89,559.19
  5. Step 5: Solve for x
    x = 89,559.19/334.12
  6. Step 6: Final answer
    x = 268.04

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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.