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Finding the Fourth Proportional to 332.87, 459.39 and 192.97

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Solution

The fourth proportional to 332.87, 459.39 and 192.97 is: 266.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    332.87 : 459.39 = 192.97 : x
  2. Step 2: Convert to fraction form
    332.87/459.39 = 192.97/x
  3. Step 3: Cross multiply
    332.87x = 459.39 × 192.97
  4. Step 4: Simplify right side
    332.87x = 88,649.79
  5. Step 5: Solve for x
    x = 88,649.79/332.87
  6. Step 6: Final answer
    x = 266.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.