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Finding the Fourth Proportional to 175.11, 262.37 and 138.78

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Solution

The fourth proportional to 175.11, 262.37 and 138.78 is: 207.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.11 : 262.37 = 138.78 : x
  2. Step 2: Convert to fraction form
    175.11/262.37 = 138.78/x
  3. Step 3: Cross multiply
    175.11x = 262.37 × 138.78
  4. Step 4: Simplify right side
    175.11x = 36,411.01
  5. Step 5: Solve for x
    x = 36,411.01/175.11
  6. Step 6: Final answer
    x = 207.93

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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.