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Finding the Fourth Proportional to 185.65, 256.30 and 123.56

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Solution

The fourth proportional to 185.65, 256.30 and 123.56 is: 170.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.65 : 256.30 = 123.56 : x
  2. Step 2: Convert to fraction form
    185.65/256.30 = 123.56/x
  3. Step 3: Cross multiply
    185.65x = 256.30 × 123.56
  4. Step 4: Simplify right side
    185.65x = 31,668.43
  5. Step 5: Solve for x
    x = 31,668.43/185.65
  6. Step 6: Final answer
    x = 170.58

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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.