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Finding the Fourth Proportional to 333.35, 500.90 and 171.14

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Solution

The fourth proportional to 333.35, 500.90 and 171.14 is: 257.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.35 : 500.90 = 171.14 : x
  2. Step 2: Convert to fraction form
    333.35/500.90 = 171.14/x
  3. Step 3: Cross multiply
    333.35x = 500.90 × 171.14
  4. Step 4: Simplify right side
    333.35x = 85,721.95
  5. Step 5: Solve for x
    x = 85,721.95/333.35
  6. Step 6: Final answer
    x = 257.16

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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.