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Finding the Fourth Proportional to 152.17, 227.38 and 122.91

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Solution

The fourth proportional to 152.17, 227.38 and 122.91 is: 183.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.17 : 227.38 = 122.91 : x
  2. Step 2: Convert to fraction form
    152.17/227.38 = 122.91/x
  3. Step 3: Cross multiply
    152.17x = 227.38 × 122.91
  4. Step 4: Simplify right side
    152.17x = 27,947.28
  5. Step 5: Solve for x
    x = 27,947.28/152.17
  6. Step 6: Final answer
    x = 183.66

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.