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Finding the Fourth Proportional to 152.16, 227.25 and 139.41

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Solution

The fourth proportional to 152.16, 227.25 and 139.41 is: 208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.16 : 227.25 = 139.41 : x
  2. Step 2: Convert to fraction form
    152.16/227.25 = 139.41/x
  3. Step 3: Cross multiply
    152.16x = 227.25 × 139.41
  4. Step 4: Simplify right side
    152.16x = 31,680.92
  5. Step 5: Solve for x
    x = 31,680.92/152.16
  6. Step 6: Final answer
    x = 208.21

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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.