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Finding the Fourth Proportional to 165.88, 248.10 and 135.64

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Solution

The fourth proportional to 165.88, 248.10 and 135.64 is: 202.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.88 : 248.10 = 135.64 : x
  2. Step 2: Convert to fraction form
    165.88/248.10 = 135.64/x
  3. Step 3: Cross multiply
    165.88x = 248.10 × 135.64
  4. Step 4: Simplify right side
    165.88x = 33,652.28
  5. Step 5: Solve for x
    x = 33,652.28/165.88
  6. Step 6: Final answer
    x = 202.87

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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.