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Finding the Fourth Proportional to 176.78, 263.24 and 174.73

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Solution

The fourth proportional to 176.78, 263.24 and 174.73 is: 260.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.78 : 263.24 = 174.73 : x
  2. Step 2: Convert to fraction form
    176.78/263.24 = 174.73/x
  3. Step 3: Cross multiply
    176.78x = 263.24 × 174.73
  4. Step 4: Simplify right side
    176.78x = 45,995.93
  5. Step 5: Solve for x
    x = 45,995.93/176.78
  6. Step 6: Final answer
    x = 260.19

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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.