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Finding the Fourth Proportional to 169.83, 234.09 and 135

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Solution

The fourth proportional to 169.83, 234.09 and 135 is: 186.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.83 : 234.09 = 135 : x
  2. Step 2: Convert to fraction form
    169.83/234.09 = 135/x
  3. Step 3: Cross multiply
    169.83x = 234.09 × 135
  4. Step 4: Simplify right side
    169.83x = 31,602.15
  5. Step 5: Solve for x
    x = 31,602.15/169.83
  6. Step 6: Final answer
    x = 186.08

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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.