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Finding the Fourth Proportional to 331.71, 497.47 and 192.93

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Solution

The fourth proportional to 331.71, 497.47 and 192.93 is: 289.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    331.71 : 497.47 = 192.93 : x
  2. Step 2: Convert to fraction form
    331.71/497.47 = 192.93/x
  3. Step 3: Cross multiply
    331.71x = 497.47 × 192.93
  4. Step 4: Simplify right side
    331.71x = 95,976.89
  5. Step 5: Solve for x
    x = 95,976.89/331.71
  6. Step 6: Final answer
    x = 289.34

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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.