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Finding the Fourth Proportional to 185.75, 256.33 and 106.01

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Solution

The fourth proportional to 185.75, 256.33 and 106.01 is: 146.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.75 : 256.33 = 106.01 : x
  2. Step 2: Convert to fraction form
    185.75/256.33 = 106.01/x
  3. Step 3: Cross multiply
    185.75x = 256.33 × 106.01
  4. Step 4: Simplify right side
    185.75x = 27,172.90
  5. Step 5: Solve for x
    x = 27,172.90/185.75
  6. Step 6: Final answer
    x = 146.29

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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.