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Finding the Fourth Proportional to 185.76, 256.23 and 120.24

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Solution

The fourth proportional to 185.76, 256.23 and 120.24 is: 165.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.76 : 256.23 = 120.24 : x
  2. Step 2: Convert to fraction form
    185.76/256.23 = 120.24/x
  3. Step 3: Cross multiply
    185.76x = 256.23 × 120.24
  4. Step 4: Simplify right side
    185.76x = 30,809.10
  5. Step 5: Solve for x
    x = 30,809.10/185.76
  6. Step 6: Final answer
    x = 165.85

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.