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Finding the Fourth Proportional to 151.65, 226.18 and 147.09

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Solution

The fourth proportional to 151.65, 226.18 and 147.09 is: 219.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.65 : 226.18 = 147.09 : x
  2. Step 2: Convert to fraction form
    151.65/226.18 = 147.09/x
  3. Step 3: Cross multiply
    151.65x = 226.18 × 147.09
  4. Step 4: Simplify right side
    151.65x = 33,268.82
  5. Step 5: Solve for x
    x = 33,268.82/151.65
  6. Step 6: Final answer
    x = 219.38

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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.