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Finding the Fourth Proportional to 165.78, 248.76 and 120.06

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Solution

The fourth proportional to 165.78, 248.76 and 120.06 is: 180.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.78 : 248.76 = 120.06 : x
  2. Step 2: Convert to fraction form
    165.78/248.76 = 120.06/x
  3. Step 3: Cross multiply
    165.78x = 248.76 × 120.06
  4. Step 4: Simplify right side
    165.78x = 29,866.13
  5. Step 5: Solve for x
    x = 29,866.13/165.78
  6. Step 6: Final answer
    x = 180.16

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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.