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Finding the Fourth Proportional to 151.65, 227.14 and 122.69

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Solution

The fourth proportional to 151.65, 227.14 and 122.69 is: 183.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.65 : 227.14 = 122.69 : x
  2. Step 2: Convert to fraction form
    151.65/227.14 = 122.69/x
  3. Step 3: Cross multiply
    151.65x = 227.14 × 122.69
  4. Step 4: Simplify right side
    151.65x = 27,868.07
  5. Step 5: Solve for x
    x = 27,868.07/151.65
  6. Step 6: Final answer
    x = 183.77

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