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Finding the Fourth Proportional to 165.35, 248.07 and 49.81

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Solution

The fourth proportional to 165.35, 248.07 and 49.81 is: 74.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.35 : 248.07 = 49.81 : x
  2. Step 2: Convert to fraction form
    165.35/248.07 = 49.81/x
  3. Step 3: Cross multiply
    165.35x = 248.07 × 49.81
  4. Step 4: Simplify right side
    165.35x = 12,354.88
  5. Step 5: Solve for x
    x = 12,354.88/165.35
  6. Step 6: Final answer
    x = 74.72

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