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Finding the Fourth Proportional to 165.58, 247.16 and 142.90

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Solution

The fourth proportional to 165.58, 247.16 and 142.90 is: 213.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.58 : 247.16 = 142.90 : x
  2. Step 2: Convert to fraction form
    165.58/247.16 = 142.90/x
  3. Step 3: Cross multiply
    165.58x = 247.16 × 142.90
  4. Step 4: Simplify right side
    165.58x = 35,319.16
  5. Step 5: Solve for x
    x = 35,319.16/165.58
  6. Step 6: Final answer
    x = 213.31

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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.