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Finding the Fourth Proportional to 284.96, 393.12 and 202.24

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Solution

The fourth proportional to 284.96, 393.12 and 202.24 is: 279.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 393.12 = 202.24 : x
  2. Step 2: Convert to fraction form
    284.96/393.12 = 202.24/x
  3. Step 3: Cross multiply
    284.96x = 393.12 × 202.24
  4. Step 4: Simplify right side
    284.96x = 79,504.59
  5. Step 5: Solve for x
    x = 79,504.59/284.96
  6. Step 6: Final answer
    x = 279.00

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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.