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Finding the Fourth Proportional to 165.52, 226.98 and 149.10

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Solution

The fourth proportional to 165.52, 226.98 and 149.10 is: 204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.52 : 226.98 = 149.10 : x
  2. Step 2: Convert to fraction form
    165.52/226.98 = 149.10/x
  3. Step 3: Cross multiply
    165.52x = 226.98 × 149.10
  4. Step 4: Simplify right side
    165.52x = 33,842.72
  5. Step 5: Solve for x
    x = 33,842.72/165.52
  6. Step 6: Final answer
    x = 204.46

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.