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Finding the Fourth Proportional to 175.34, 262.84 and 67.05

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Solution

The fourth proportional to 175.34, 262.84 and 67.05 is: 100.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.34 : 262.84 = 67.05 : x
  2. Step 2: Convert to fraction form
    175.34/262.84 = 67.05/x
  3. Step 3: Cross multiply
    175.34x = 262.84 × 67.05
  4. Step 4: Simplify right side
    175.34x = 17,623.42
  5. Step 5: Solve for x
    x = 17,623.42/175.34
  6. Step 6: Final answer
    x = 100.51

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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.