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Finding the Fourth Proportional to 165.22, 247.60 and 88.03

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Solution

The fourth proportional to 165.22, 247.60 and 88.03 is: 131.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.22 : 247.60 = 88.03 : x
  2. Step 2: Convert to fraction form
    165.22/247.60 = 88.03/x
  3. Step 3: Cross multiply
    165.22x = 247.60 × 88.03
  4. Step 4: Simplify right side
    165.22x = 21,796.23
  5. Step 5: Solve for x
    x = 21,796.23/165.22
  6. Step 6: Final answer
    x = 131.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.