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Finding the Fourth Proportional to 165.30, 231.90 and 165.30

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Solution

The fourth proportional to 165.30, 231.90 and 165.30 is: 231.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.30 : 231.90 = 165.30 : x
  2. Step 2: Convert to fraction form
    165.30/231.90 = 165.30/x
  3. Step 3: Cross multiply
    165.30x = 231.90 × 165.30
  4. Step 4: Simplify right side
    165.30x = 38,333.07
  5. Step 5: Solve for x
    x = 38,333.07/165.30
  6. Step 6: Final answer
    x = 231.90

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.