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Finding the Fourth Proportional to 231.02, 318.84 and 169.05

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Solution

The fourth proportional to 231.02, 318.84 and 169.05 is: 233.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.02 : 318.84 = 169.05 : x
  2. Step 2: Convert to fraction form
    231.02/318.84 = 169.05/x
  3. Step 3: Cross multiply
    231.02x = 318.84 × 169.05
  4. Step 4: Simplify right side
    231.02x = 53,900.46
  5. Step 5: Solve for x
    x = 53,900.46/231.02
  6. Step 6: Final answer
    x = 233.32

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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.