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Finding the Fourth Proportional to 165.48, 248.35 and 148.09

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Solution

The fourth proportional to 165.48, 248.35 and 148.09 is: 222.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.48 : 248.35 = 148.09 : x
  2. Step 2: Convert to fraction form
    165.48/248.35 = 148.09/x
  3. Step 3: Cross multiply
    165.48x = 248.35 × 148.09
  4. Step 4: Simplify right side
    165.48x = 36,777.21
  5. Step 5: Solve for x
    x = 36,777.21/165.48
  6. Step 6: Final answer
    x = 222.25

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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.