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Finding the Fourth Proportional to 165.36, 249.08 and 141.06

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Solution

The fourth proportional to 165.36, 249.08 and 141.06 is: 212.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 249.08 = 141.06 : x
  2. Step 2: Convert to fraction form
    165.36/249.08 = 141.06/x
  3. Step 3: Cross multiply
    165.36x = 249.08 × 141.06
  4. Step 4: Simplify right side
    165.36x = 35,135.22
  5. Step 5: Solve for x
    x = 35,135.22/165.36
  6. Step 6: Final answer
    x = 212.48

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.