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Finding the Fourth Proportional to 175.10, 262.65 and 165.08

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Solution

The fourth proportional to 175.10, 262.65 and 165.08 is: 247.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.10 : 262.65 = 165.08 : x
  2. Step 2: Convert to fraction form
    175.10/262.65 = 165.08/x
  3. Step 3: Cross multiply
    175.10x = 262.65 × 165.08
  4. Step 4: Simplify right side
    175.10x = 43,357.60
  5. Step 5: Solve for x
    x = 43,357.60/175.10
  6. Step 6: Final answer
    x = 247.62

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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.