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Finding the Fourth Proportional to 284.74, 393.23 and 236.14

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Solution

The fourth proportional to 284.74, 393.23 and 236.14 is: 326.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.74 : 393.23 = 236.14 : x
  2. Step 2: Convert to fraction form
    284.74/393.23 = 236.14/x
  3. Step 3: Cross multiply
    284.74x = 393.23 × 236.14
  4. Step 4: Simplify right side
    284.74x = 92,857.33
  5. Step 5: Solve for x
    x = 92,857.33/284.74
  6. Step 6: Final answer
    x = 326.11

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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.