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Finding the Fourth Proportional to 284.48, 392.75 and 201.76

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Solution

The fourth proportional to 284.48, 392.75 and 201.76 is: 278.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.48 : 392.75 = 201.76 : x
  2. Step 2: Convert to fraction form
    284.48/392.75 = 201.76/x
  3. Step 3: Cross multiply
    284.48x = 392.75 × 201.76
  4. Step 4: Simplify right side
    284.48x = 79,240.01
  5. Step 5: Solve for x
    x = 79,240.01/284.48
  6. Step 6: Final answer
    x = 278.54

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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.