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Finding the Fourth Proportional to 165.90, 248.31 and 130.02

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Solution

The fourth proportional to 165.90, 248.31 and 130.02 is: 194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    165.90 : 248.31 = 130.02 : x
  2. Step 2: Convert to fraction form
    165.90/248.31 = 130.02/x
  3. Step 3: Cross multiply
    165.90x = 248.31 × 130.02
  4. Step 4: Simplify right side
    165.90x = 32,285.27
  5. Step 5: Solve for x
    x = 32,285.27/165.90
  6. Step 6: Final answer
    x = 194.61

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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.