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Finding the Fourth Proportional to 185.65, 256.06 and 120.24

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Solution

The fourth proportional to 185.65, 256.06 and 120.24 is: 165.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.65 : 256.06 = 120.24 : x
  2. Step 2: Convert to fraction form
    185.65/256.06 = 120.24/x
  3. Step 3: Cross multiply
    185.65x = 256.06 × 120.24
  4. Step 4: Simplify right side
    185.65x = 30,788.65
  5. Step 5: Solve for x
    x = 30,788.65/185.65
  6. Step 6: Final answer
    x = 165.84

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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.