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Finding the Fourth Proportional to 333.90, 500.78 and 171.50

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Solution

The fourth proportional to 333.90, 500.78 and 171.50 is: 257.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    333.90 : 500.78 = 171.50 : x
  2. Step 2: Convert to fraction form
    333.90/500.78 = 171.50/x
  3. Step 3: Cross multiply
    333.90x = 500.78 × 171.50
  4. Step 4: Simplify right side
    333.90x = 85,881.69
  5. Step 5: Solve for x
    x = 85,881.69/333.90
  6. Step 6: Final answer
    x = 257.21

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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.