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Finding the Fourth Proportional to 178.45, 269.04 and 176.15

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Solution

The fourth proportional to 178.45, 269.04 and 176.15 is: 265.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 269.04 = 176.15 : x
  2. Step 2: Convert to fraction form
    178.45/269.04 = 176.15/x
  3. Step 3: Cross multiply
    178.45x = 269.04 × 176.15
  4. Step 4: Simplify right side
    178.45x = 47,390.05
  5. Step 5: Solve for x
    x = 47,390.05/178.45
  6. Step 6: Final answer
    x = 265.57

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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.