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Finding the Fourth Proportional to 333.98, 500.50 and 171.32

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Solution

The fourth proportional to 333.98, 500.50 and 171.32 is: 256.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.98 : 500.50 = 171.32 : x
  2. Step 2: Convert to fraction form
    333.98/500.50 = 171.32/x
  3. Step 3: Cross multiply
    333.98x = 500.50 × 171.32
  4. Step 4: Simplify right side
    333.98x = 85,745.66
  5. Step 5: Solve for x
    x = 85,745.66/333.98
  6. Step 6: Final answer
    x = 256.74

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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.