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Finding the Fourth Proportional to 169.99, 234.64 and 135.08

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Solution

The fourth proportional to 169.99, 234.64 and 135.08 is: 186.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.99 : 234.64 = 135.08 : x
  2. Step 2: Convert to fraction form
    169.99/234.64 = 135.08/x
  3. Step 3: Cross multiply
    169.99x = 234.64 × 135.08
  4. Step 4: Simplify right side
    169.99x = 31,694.29
  5. Step 5: Solve for x
    x = 31,694.29/169.99
  6. Step 6: Final answer
    x = 186.45

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.