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Finding the Fourth Proportional to 176.10, 263.24 and 171.78

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Solution

The fourth proportional to 176.10, 263.24 and 171.78 is: 256.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 263.24 = 171.78 : x
  2. Step 2: Convert to fraction form
    176.10/263.24 = 171.78/x
  3. Step 3: Cross multiply
    176.10x = 263.24 × 171.78
  4. Step 4: Simplify right side
    176.10x = 45,219.37
  5. Step 5: Solve for x
    x = 45,219.37/176.10
  6. Step 6: Final answer
    x = 256.78

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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.