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Finding the Fourth Proportional to 165.50, 248.19 and 49.94

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Solution

The fourth proportional to 165.50, 248.19 and 49.94 is: 74.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.50 : 248.19 = 49.94 : x
  2. Step 2: Convert to fraction form
    165.50/248.19 = 49.94/x
  3. Step 3: Cross multiply
    165.50x = 248.19 × 49.94
  4. Step 4: Simplify right side
    165.50x = 12,394.61
  5. Step 5: Solve for x
    x = 12,394.61/165.50
  6. Step 6: Final answer
    x = 74.89

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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.