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Finding the Fourth Proportional to 174.80, 262.23 and 65.12

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Solution

The fourth proportional to 174.80, 262.23 and 65.12 is: 97.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.80 : 262.23 = 65.12 : x
  2. Step 2: Convert to fraction form
    174.80/262.23 = 65.12/x
  3. Step 3: Cross multiply
    174.80x = 262.23 × 65.12
  4. Step 4: Simplify right side
    174.80x = 17,076.42
  5. Step 5: Solve for x
    x = 17,076.42/174.80
  6. Step 6: Final answer
    x = 97.69

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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.