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Finding the Fourth Proportional to 284.91, 393.09 and 174.36

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Solution

The fourth proportional to 284.91, 393.09 and 174.36 is: 240.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.91 : 393.09 = 174.36 : x
  2. Step 2: Convert to fraction form
    284.91/393.09 = 174.36/x
  3. Step 3: Cross multiply
    284.91x = 393.09 × 174.36
  4. Step 4: Simplify right side
    284.91x = 68,539.17
  5. Step 5: Solve for x
    x = 68,539.17/284.91
  6. Step 6: Final answer
    x = 240.56

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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.