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Finding the Fourth Proportional to 174.47, 259.99 and 168.66

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Solution

The fourth proportional to 174.47, 259.99 and 168.66 is: 251.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.47 : 259.99 = 168.66 : x
  2. Step 2: Convert to fraction form
    174.47/259.99 = 168.66/x
  3. Step 3: Cross multiply
    174.47x = 259.99 × 168.66
  4. Step 4: Simplify right side
    174.47x = 43,849.49
  5. Step 5: Solve for x
    x = 43,849.49/174.47
  6. Step 6: Final answer
    x = 251.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.