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Finding the Fourth Proportional to 165.84, 248.94 and 120.30

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Solution

The fourth proportional to 165.84, 248.94 and 120.30 is: 180.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.84 : 248.94 = 120.30 : x
  2. Step 2: Convert to fraction form
    165.84/248.94 = 120.30/x
  3. Step 3: Cross multiply
    165.84x = 248.94 × 120.30
  4. Step 4: Simplify right side
    165.84x = 29,947.48
  5. Step 5: Solve for x
    x = 29,947.48/165.84
  6. Step 6: Final answer
    x = 180.58

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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.