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Finding the Fourth Proportional to 165.62, 247.36 and 138.32

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Solution

The fourth proportional to 165.62, 247.36 and 138.32 is: 206.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.62 : 247.36 = 138.32 : x
  2. Step 2: Convert to fraction form
    165.62/247.36 = 138.32/x
  3. Step 3: Cross multiply
    165.62x = 247.36 × 138.32
  4. Step 4: Simplify right side
    165.62x = 34,214.84
  5. Step 5: Solve for x
    x = 34,214.84/165.62
  6. Step 6: Final answer
    x = 206.59

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.