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Finding the Fourth Proportional to 175.94, 242.63 and 113.78

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Solution

The fourth proportional to 175.94, 242.63 and 113.78 is: 156.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.94 : 242.63 = 113.78 : x
  2. Step 2: Convert to fraction form
    175.94/242.63 = 113.78/x
  3. Step 3: Cross multiply
    175.94x = 242.63 × 113.78
  4. Step 4: Simplify right side
    175.94x = 27,604.66
  5. Step 5: Solve for x
    x = 27,604.66/175.94
  6. Step 6: Final answer
    x = 156.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.