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Finding the Fourth Proportional to 178.45, 268.25 and 165.77

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Solution

The fourth proportional to 178.45, 268.25 and 165.77 is: 249.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.45 : 268.25 = 165.77 : x
  2. Step 2: Convert to fraction form
    178.45/268.25 = 165.77/x
  3. Step 3: Cross multiply
    178.45x = 268.25 × 165.77
  4. Step 4: Simplify right side
    178.45x = 44,467.80
  5. Step 5: Solve for x
    x = 44,467.80/178.45
  6. Step 6: Final answer
    x = 249.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.