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Finding the Fourth Proportional to 165.36, 248.02 and 67.85

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Solution

The fourth proportional to 165.36, 248.02 and 67.85 is: 101.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 248.02 = 67.85 : x
  2. Step 2: Convert to fraction form
    165.36/248.02 = 67.85/x
  3. Step 3: Cross multiply
    165.36x = 248.02 × 67.85
  4. Step 4: Simplify right side
    165.36x = 16,828.16
  5. Step 5: Solve for x
    x = 16,828.16/165.36
  6. Step 6: Final answer
    x = 101.77

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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.