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Finding the Fourth Proportional to 175.40, 263.16 and 137.12

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Solution

The fourth proportional to 175.40, 263.16 and 137.12 is: 205.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.40 : 263.16 = 137.12 : x
  2. Step 2: Convert to fraction form
    175.40/263.16 = 137.12/x
  3. Step 3: Cross multiply
    175.40x = 263.16 × 137.12
  4. Step 4: Simplify right side
    175.40x = 36,084.50
  5. Step 5: Solve for x
    x = 36,084.50/175.40
  6. Step 6: Final answer
    x = 205.73

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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.