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Finding the Fourth Proportional to 175.74, 263.45 and 102.68

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Solution

The fourth proportional to 175.74, 263.45 and 102.68 is: 153.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.74 : 263.45 = 102.68 : x
  2. Step 2: Convert to fraction form
    175.74/263.45 = 102.68/x
  3. Step 3: Cross multiply
    175.74x = 263.45 × 102.68
  4. Step 4: Simplify right side
    175.74x = 27,052.46
  5. Step 5: Solve for x
    x = 27,052.46/175.74
  6. Step 6: Final answer
    x = 153.94

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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.