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Finding the Fourth Proportional to 165.40, 218.52 and 165.40

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Solution

The fourth proportional to 165.40, 218.52 and 165.40 is: 218.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.40 : 218.52 = 165.40 : x
  2. Step 2: Convert to fraction form
    165.40/218.52 = 165.40/x
  3. Step 3: Cross multiply
    165.40x = 218.52 × 165.40
  4. Step 4: Simplify right side
    165.40x = 36,143.21
  5. Step 5: Solve for x
    x = 36,143.21/165.40
  6. Step 6: Final answer
    x = 218.52

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.