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Finding the Fourth Proportional to 176.79, 263.69 and 171.39

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Solution

The fourth proportional to 176.79, 263.69 and 171.39 is: 255.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.79 : 263.69 = 171.39 : x
  2. Step 2: Convert to fraction form
    176.79/263.69 = 171.39/x
  3. Step 3: Cross multiply
    176.79x = 263.69 × 171.39
  4. Step 4: Simplify right side
    176.79x = 45,194.26
  5. Step 5: Solve for x
    x = 45,194.26/176.79
  6. Step 6: Final answer
    x = 255.64

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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.