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Finding the Fourth Proportional to 178.58, 269.01 and 176.96

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Solution

The fourth proportional to 178.58, 269.01 and 176.96 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.58 : 269.01 = 176.96 : x
  2. Step 2: Convert to fraction form
    178.58/269.01 = 176.96/x
  3. Step 3: Cross multiply
    178.58x = 269.01 × 176.96
  4. Step 4: Simplify right side
    178.58x = 47,604.01
  5. Step 5: Solve for x
    x = 47,604.01/178.58
  6. Step 6: Final answer
    x = 266.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.