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Finding the Fourth Proportional to 169.76, 233.60 and 154.23

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Solution

The fourth proportional to 169.76, 233.60 and 154.23 is: 212.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.76 : 233.60 = 154.23 : x
  2. Step 2: Convert to fraction form
    169.76/233.60 = 154.23/x
  3. Step 3: Cross multiply
    169.76x = 233.60 × 154.23
  4. Step 4: Simplify right side
    169.76x = 36,027.36
  5. Step 5: Solve for x
    x = 36,027.36/169.76
  6. Step 6: Final answer
    x = 212.23

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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.