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Finding the Fourth Proportional to 231.36, 319.14 and 166.02

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Solution

The fourth proportional to 231.36, 319.14 and 166.02 is: 229.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.36 : 319.14 = 166.02 : x
  2. Step 2: Convert to fraction form
    231.36/319.14 = 166.02/x
  3. Step 3: Cross multiply
    231.36x = 319.14 × 166.02
  4. Step 4: Simplify right side
    231.36x = 52,983.62
  5. Step 5: Solve for x
    x = 52,983.62/231.36
  6. Step 6: Final answer
    x = 229.01

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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.