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Finding the Fourth Proportional to 169.16, 233.54 and 116.80

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Solution

The fourth proportional to 169.16, 233.54 and 116.80 is: 161.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.16 : 233.54 = 116.80 : x
  2. Step 2: Convert to fraction form
    169.16/233.54 = 116.80/x
  3. Step 3: Cross multiply
    169.16x = 233.54 × 116.80
  4. Step 4: Simplify right side
    169.16x = 27,277.40
  5. Step 5: Solve for x
    x = 27,277.40/169.16
  6. Step 6: Final answer
    x = 161.25

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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.