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Finding the Fourth Proportional to 165.42, 248.22 and 97.02

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Solution

The fourth proportional to 165.42, 248.22 and 97.02 is: 145.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.42 : 248.22 = 97.02 : x
  2. Step 2: Convert to fraction form
    165.42/248.22 = 97.02/x
  3. Step 3: Cross multiply
    165.42x = 248.22 × 97.02
  4. Step 4: Simplify right side
    165.42x = 24,082.30
  5. Step 5: Solve for x
    x = 24,082.30/165.42
  6. Step 6: Final answer
    x = 145.58

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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.