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Finding the Fourth Proportional to 165.37, 247.88 and 74.01

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Solution

The fourth proportional to 165.37, 247.88 and 74.01 is: 110.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.37 : 247.88 = 74.01 : x
  2. Step 2: Convert to fraction form
    165.37/247.88 = 74.01/x
  3. Step 3: Cross multiply
    165.37x = 247.88 × 74.01
  4. Step 4: Simplify right side
    165.37x = 18,345.60
  5. Step 5: Solve for x
    x = 18,345.60/165.37
  6. Step 6: Final answer
    x = 110.94

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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.