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Finding the Fourth Proportional to 151.50, 227.51 and 140.28

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Solution

The fourth proportional to 151.50, 227.51 and 140.28 is: 210.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.50 : 227.51 = 140.28 : x
  2. Step 2: Convert to fraction form
    151.50/227.51 = 140.28/x
  3. Step 3: Cross multiply
    151.50x = 227.51 × 140.28
  4. Step 4: Simplify right side
    151.50x = 31,914.40
  5. Step 5: Solve for x
    x = 31,914.40/151.50
  6. Step 6: Final answer
    x = 210.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.