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Finding the Fourth Proportional to 155.39, 232.63 and 126.43

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Solution

The fourth proportional to 155.39, 232.63 and 126.43 is: 189.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.39 : 232.63 = 126.43 : x
  2. Step 2: Convert to fraction form
    155.39/232.63 = 126.43/x
  3. Step 3: Cross multiply
    155.39x = 232.63 × 126.43
  4. Step 4: Simplify right side
    155.39x = 29,410.51
  5. Step 5: Solve for x
    x = 29,410.51/155.39
  6. Step 6: Final answer
    x = 189.28

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Why These Related Problems?

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