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Finding the Fourth Proportional to 284.22, 392.28 and 201.45

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Solution

The fourth proportional to 284.22, 392.28 and 201.45 is: 278.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.22 : 392.28 = 201.45 : x
  2. Step 2: Convert to fraction form
    284.22/392.28 = 201.45/x
  3. Step 3: Cross multiply
    284.22x = 392.28 × 201.45
  4. Step 4: Simplify right side
    284.22x = 79,024.81
  5. Step 5: Solve for x
    x = 79,024.81/284.22
  6. Step 6: Final answer
    x = 278.04

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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.