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Finding the Fourth Proportional to 151.77, 227.66 and 47.65

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Solution

The fourth proportional to 151.77, 227.66 and 47.65 is: 71.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.77 : 227.66 = 47.65 : x
  2. Step 2: Convert to fraction form
    151.77/227.66 = 47.65/x
  3. Step 3: Cross multiply
    151.77x = 227.66 × 47.65
  4. Step 4: Simplify right side
    151.77x = 10,847.62
  5. Step 5: Solve for x
    x = 10,847.62/151.77
  6. Step 6: Final answer
    x = 71.47

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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.