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Finding the Fourth Proportional to 333.41, 500.14 and 171.20

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Solution

The fourth proportional to 333.41, 500.14 and 171.20 is: 256.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.41 : 500.14 = 171.20 : x
  2. Step 2: Convert to fraction form
    333.41/500.14 = 171.20/x
  3. Step 3: Cross multiply
    333.41x = 500.14 × 171.20
  4. Step 4: Simplify right side
    333.41x = 85,624.79
  5. Step 5: Solve for x
    x = 85,624.79/333.41
  6. Step 6: Final answer
    x = 256.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.