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Finding the Fourth Proportional to 151.15, 226.83 and 102.28

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Solution

The fourth proportional to 151.15, 226.83 and 102.28 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.15 : 226.83 = 102.28 : x
  2. Step 2: Convert to fraction form
    151.15/226.83 = 102.28/x
  3. Step 3: Cross multiply
    151.15x = 226.83 × 102.28
  4. Step 4: Simplify right side
    151.15x = 23,200.17
  5. Step 5: Solve for x
    x = 23,200.17/151.15
  6. Step 6: Final answer
    x = 153.49

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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.