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Finding the Fourth Proportional to 152.87, 230.36 and 126.41

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Solution

The fourth proportional to 152.87, 230.36 and 126.41 is: 190.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.87 : 230.36 = 126.41 : x
  2. Step 2: Convert to fraction form
    152.87/230.36 = 126.41/x
  3. Step 3: Cross multiply
    152.87x = 230.36 × 126.41
  4. Step 4: Simplify right side
    152.87x = 29,119.18
  5. Step 5: Solve for x
    x = 29,119.18/152.87
  6. Step 6: Final answer
    x = 190.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.