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Finding the Fourth Proportional to 185.90, 256.55 and 112.23

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Solution

The fourth proportional to 185.90, 256.55 and 112.23 is: 154.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.90 : 256.55 = 112.23 : x
  2. Step 2: Convert to fraction form
    185.90/256.55 = 112.23/x
  3. Step 3: Cross multiply
    185.90x = 256.55 × 112.23
  4. Step 4: Simplify right side
    185.90x = 28,792.89
  5. Step 5: Solve for x
    x = 28,792.89/185.90
  6. Step 6: Final answer
    x = 154.89

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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.