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Finding the Fourth Proportional to 283.99, 392.00 and 173.47

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Solution

The fourth proportional to 283.99, 392.00 and 173.47 is: 239.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.99 : 392.00 = 173.47 : x
  2. Step 2: Convert to fraction form
    283.99/392.00 = 173.47/x
  3. Step 3: Cross multiply
    283.99x = 392.00 × 173.47
  4. Step 4: Simplify right side
    283.99x = 67,998.39
  5. Step 5: Solve for x
    x = 67,998.39/283.99
  6. Step 6: Final answer
    x = 239.44

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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.