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Finding the Fourth Proportional to 151.96, 226.77 and 146.70

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Solution

The fourth proportional to 151.96, 226.77 and 146.70 is: 218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.96 : 226.77 = 146.70 : x
  2. Step 2: Convert to fraction form
    151.96/226.77 = 146.70/x
  3. Step 3: Cross multiply
    151.96x = 226.77 × 146.70
  4. Step 4: Simplify right side
    151.96x = 33,267.16
  5. Step 5: Solve for x
    x = 33,267.16/151.96
  6. Step 6: Final answer
    x = 218.92

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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.