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Finding the Fourth Proportional to 165.07, 247.70 and 110.09

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Solution

The fourth proportional to 165.07, 247.70 and 110.09 is: 165.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.07 : 247.70 = 110.09 : x
  2. Step 2: Convert to fraction form
    165.07/247.70 = 110.09/x
  3. Step 3: Cross multiply
    165.07x = 247.70 × 110.09
  4. Step 4: Simplify right side
    165.07x = 27,269.36
  5. Step 5: Solve for x
    x = 27,269.36/165.07
  6. Step 6: Final answer
    x = 165.20

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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.