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Finding the Fourth Proportional to 284.74, 392.81 and 196.08

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Solution

The fourth proportional to 284.74, 392.81 and 196.08 is: 270.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 392.81 = 196.08 : x
  2. Step 2: Convert to fraction form
    284.74/392.81 = 196.08/x
  3. Step 3: Cross multiply
    284.74x = 392.81 × 196.08
  4. Step 4: Simplify right side
    284.74x = 77,021.20
  5. Step 5: Solve for x
    x = 77,021.20/284.74
  6. Step 6: Final answer
    x = 270.50

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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.