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Finding the Fourth Proportional to 169.02, 233.06 and 154.35

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Solution

The fourth proportional to 169.02, 233.06 and 154.35 is: 212.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169.02 : 233.06 = 154.35 : x
  2. Step 2: Convert to fraction form
    169.02/233.06 = 154.35/x
  3. Step 3: Cross multiply
    169.02x = 233.06 × 154.35
  4. Step 4: Simplify right side
    169.02x = 35,972.04
  5. Step 5: Solve for x
    x = 35,972.04/169.02
  6. Step 6: Final answer
    x = 212.83

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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.