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Finding the Fourth Proportional to 173.96, 260.99 and 143.38

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Solution

The fourth proportional to 173.96, 260.99 and 143.38 is: 215.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 260.99 = 143.38 : x
  2. Step 2: Convert to fraction form
    173.96/260.99 = 143.38/x
  3. Step 3: Cross multiply
    173.96x = 260.99 × 143.38
  4. Step 4: Simplify right side
    173.96x = 37,420.89
  5. Step 5: Solve for x
    x = 37,420.89/173.96
  6. Step 6: Final answer
    x = 215.11

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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.