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Finding the Fourth Proportional to 165.56, 248.67 and 120.02

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Solution

The fourth proportional to 165.56, 248.67 and 120.02 is: 180.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.56 : 248.67 = 120.02 : x
  2. Step 2: Convert to fraction form
    165.56/248.67 = 120.02/x
  3. Step 3: Cross multiply
    165.56x = 248.67 × 120.02
  4. Step 4: Simplify right side
    165.56x = 29,844.13
  5. Step 5: Solve for x
    x = 29,844.13/165.56
  6. Step 6: Final answer
    x = 180.27

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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.