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Finding the Fourth Proportional to 185.66, 277.22 and 151.03

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Solution

The fourth proportional to 185.66, 277.22 and 151.03 is: 225.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    185.66 : 277.22 = 151.03 : x
  2. Step 2: Convert to fraction form
    185.66/277.22 = 151.03/x
  3. Step 3: Cross multiply
    185.66x = 277.22 × 151.03
  4. Step 4: Simplify right side
    185.66x = 41,868.54
  5. Step 5: Solve for x
    x = 41,868.54/185.66
  6. Step 6: Final answer
    x = 225.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.