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Finding the Fourth Proportional to 165.84, 248.73 and 50.27

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Solution

The fourth proportional to 165.84, 248.73 and 50.27 is: 75.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 248.73 = 50.27 : x
  2. Step 2: Convert to fraction form
    165.84/248.73 = 50.27/x
  3. Step 3: Cross multiply
    165.84x = 248.73 × 50.27
  4. Step 4: Simplify right side
    165.84x = 12,502.41
  5. Step 5: Solve for x
    x = 12,502.41/165.84
  6. Step 6: Final answer
    x = 75.39

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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.