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Finding the Fourth Proportional to 180.96, 269.86 and 176.84

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Solution

The fourth proportional to 180.96, 269.86 and 176.84 is: 263.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.96 : 269.86 = 176.84 : x
  2. Step 2: Convert to fraction form
    180.96/269.86 = 176.84/x
  3. Step 3: Cross multiply
    180.96x = 269.86 × 176.84
  4. Step 4: Simplify right side
    180.96x = 47,722.04
  5. Step 5: Solve for x
    x = 47,722.04/180.96
  6. Step 6: Final answer
    x = 263.72

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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.