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Finding the Fourth Proportional to 165.32, 246.82 and 142.40

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Solution

The fourth proportional to 165.32, 246.82 and 142.40 is: 212.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.32 : 246.82 = 142.40 : x
  2. Step 2: Convert to fraction form
    165.32/246.82 = 142.40/x
  3. Step 3: Cross multiply
    165.32x = 246.82 × 142.40
  4. Step 4: Simplify right side
    165.32x = 35,147.17
  5. Step 5: Solve for x
    x = 35,147.17/165.32
  6. Step 6: Final answer
    x = 212.60

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Why These Related Problems?

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