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Finding the Fourth Proportional to 151.57, 226.16 and 137.94

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Solution

The fourth proportional to 151.57, 226.16 and 137.94 is: 205.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.57 : 226.16 = 137.94 : x
  2. Step 2: Convert to fraction form
    151.57/226.16 = 137.94/x
  3. Step 3: Cross multiply
    151.57x = 226.16 × 137.94
  4. Step 4: Simplify right side
    151.57x = 31,196.51
  5. Step 5: Solve for x
    x = 31,196.51/151.57
  6. Step 6: Final answer
    x = 205.82

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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.