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Finding the Fourth Proportional to 165.36, 248.16 and 74.10

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Solution

The fourth proportional to 165.36, 248.16 and 74.10 is: 111.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.36 : 248.16 = 74.10 : x
  2. Step 2: Convert to fraction form
    165.36/248.16 = 74.10/x
  3. Step 3: Cross multiply
    165.36x = 248.16 × 74.10
  4. Step 4: Simplify right side
    165.36x = 18,388.66
  5. Step 5: Solve for x
    x = 18,388.66/165.36
  6. Step 6: Final answer
    x = 111.20

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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.