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Finding the Fourth Proportional to 165.83, 248.74 and 97.31

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Solution

The fourth proportional to 165.83, 248.74 and 97.31 is: 145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.83 : 248.74 = 97.31 : x
  2. Step 2: Convert to fraction form
    165.83/248.74 = 97.31/x
  3. Step 3: Cross multiply
    165.83x = 248.74 × 97.31
  4. Step 4: Simplify right side
    165.83x = 24,205.27
  5. Step 5: Solve for x
    x = 24,205.27/165.83
  6. Step 6: Final answer
    x = 145.96

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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.