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Finding the Fourth Proportional to 185.82, 256.54 and 123.74

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Solution

The fourth proportional to 185.82, 256.54 and 123.74 is: 170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.82 : 256.54 = 123.74 : x
  2. Step 2: Convert to fraction form
    185.82/256.54 = 123.74/x
  3. Step 3: Cross multiply
    185.82x = 256.54 × 123.74
  4. Step 4: Simplify right side
    185.82x = 31,742.67
  5. Step 5: Solve for x
    x = 31,742.67/185.82
  6. Step 6: Final answer
    x = 170.82

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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.