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Finding the Fourth Proportional to 169.95, 234.65 and 133.04

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Solution

The fourth proportional to 169.95, 234.65 and 133.04 is: 183.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.95 : 234.65 = 133.04 : x
  2. Step 2: Convert to fraction form
    169.95/234.65 = 133.04/x
  3. Step 3: Cross multiply
    169.95x = 234.65 × 133.04
  4. Step 4: Simplify right side
    169.95x = 31,218.01
  5. Step 5: Solve for x
    x = 31,218.01/169.95
  6. Step 6: Final answer
    x = 183.69

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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.