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Finding the Fourth Proportional to 275.39, 379.82 and 175.70

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Solution

The fourth proportional to 275.39, 379.82 and 175.70 is: 242.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.39 : 379.82 = 175.70 : x
  2. Step 2: Convert to fraction form
    275.39/379.82 = 175.70/x
  3. Step 3: Cross multiply
    275.39x = 379.82 × 175.70
  4. Step 4: Simplify right side
    275.39x = 66,731.60
  5. Step 5: Solve for x
    x = 66,731.60/275.39
  6. Step 6: Final answer
    x = 242.32

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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.