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Finding the Fourth Proportional to 284.96, 393.30 and 174.40

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Solution

The fourth proportional to 284.96, 393.30 and 174.40 is: 240.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 393.30 = 174.40 : x
  2. Step 2: Convert to fraction form
    284.96/393.30 = 174.40/x
  3. Step 3: Cross multiply
    284.96x = 393.30 × 174.40
  4. Step 4: Simplify right side
    284.96x = 68,591.52
  5. Step 5: Solve for x
    x = 68,591.52/284.96
  6. Step 6: Final answer
    x = 240.71

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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.