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Finding the Fourth Proportional to 174.91, 262.47 and 97.93

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Solution

The fourth proportional to 174.91, 262.47 and 97.93 is: 146.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.91 : 262.47 = 97.93 : x
  2. Step 2: Convert to fraction form
    174.91/262.47 = 97.93/x
  3. Step 3: Cross multiply
    174.91x = 262.47 × 97.93
  4. Step 4: Simplify right side
    174.91x = 25,702.91
  5. Step 5: Solve for x
    x = 25,702.91/174.91
  6. Step 6: Final answer
    x = 146.95

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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.