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Finding the Fourth Proportional to 284.82, 392.38 and 201.80

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Solution

The fourth proportional to 284.82, 392.38 and 201.80 is: 278.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.82 : 392.38 = 201.80 : x
  2. Step 2: Convert to fraction form
    284.82/392.38 = 201.80/x
  3. Step 3: Cross multiply
    284.82x = 392.38 × 201.80
  4. Step 4: Simplify right side
    284.82x = 79,179.31
  5. Step 5: Solve for x
    x = 79,179.31/284.82
  6. Step 6: Final answer
    x = 278.00

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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.