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Finding the Fourth Proportional to 231.10, 318.60 and 164.75

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Solution

The fourth proportional to 231.10, 318.60 and 164.75 is: 227.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.10 : 318.60 = 164.75 : x
  2. Step 2: Convert to fraction form
    231.10/318.60 = 164.75/x
  3. Step 3: Cross multiply
    231.10x = 318.60 × 164.75
  4. Step 4: Simplify right side
    231.10x = 52,487.51
  5. Step 5: Solve for x
    x = 52,487.51/231.10
  6. Step 6: Final answer
    x = 227.12

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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.