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Finding the Fourth Proportional to 333.74, 460.54 and 193.86

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Solution

The fourth proportional to 333.74, 460.54 and 193.86 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.74 : 460.54 = 193.86 : x
  2. Step 2: Convert to fraction form
    333.74/460.54 = 193.86/x
  3. Step 3: Cross multiply
    333.74x = 460.54 × 193.86
  4. Step 4: Simplify right side
    333.74x = 89,280.28
  5. Step 5: Solve for x
    x = 89,280.28/333.74
  6. Step 6: Final answer
    x = 267.51

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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.