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Finding the Fourth Proportional to 185.66, 256.28 and 146.33

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Solution

The fourth proportional to 185.66, 256.28 and 146.33 is: 201.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.66 : 256.28 = 146.33 : x
  2. Step 2: Convert to fraction form
    185.66/256.28 = 146.33/x
  3. Step 3: Cross multiply
    185.66x = 256.28 × 146.33
  4. Step 4: Simplify right side
    185.66x = 37,500.40
  5. Step 5: Solve for x
    x = 37,500.40/185.66
  6. Step 6: Final answer
    x = 201.98

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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.