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Finding the Fourth Proportional to 175.85, 264.06 and 110.99

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Solution

The fourth proportional to 175.85, 264.06 and 110.99 is: 166.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.85 : 264.06 = 110.99 : x
  2. Step 2: Convert to fraction form
    175.85/264.06 = 110.99/x
  3. Step 3: Cross multiply
    175.85x = 264.06 × 110.99
  4. Step 4: Simplify right side
    175.85x = 29,306.70
  5. Step 5: Solve for x
    x = 29,306.70/175.85
  6. Step 6: Final answer
    x = 166.66

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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.