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Finding the Fourth Proportional to 284.99, 392.70 and 196.49

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Solution

The fourth proportional to 284.99, 392.70 and 196.49 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.99 : 392.70 = 196.49 : x
  2. Step 2: Convert to fraction form
    284.99/392.70 = 196.49/x
  3. Step 3: Cross multiply
    284.99x = 392.70 × 196.49
  4. Step 4: Simplify right side
    284.99x = 77,162.24
  5. Step 5: Solve for x
    x = 77,162.24/284.99
  6. Step 6: Final answer
    x = 270.76

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