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Finding the Fourth Proportional to 333.95, 460.78 and 194.07

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Solution

The fourth proportional to 333.95, 460.78 and 194.07 is: 267.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.95 : 460.78 = 194.07 : x
  2. Step 2: Convert to fraction form
    333.95/460.78 = 194.07/x
  3. Step 3: Cross multiply
    333.95x = 460.78 × 194.07
  4. Step 4: Simplify right side
    333.95x = 89,423.57
  5. Step 5: Solve for x
    x = 89,423.57/333.95
  6. Step 6: Final answer
    x = 267.78

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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.