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Finding the Fourth Proportional to 284.96, 393.47 and 212.06

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Solution

The fourth proportional to 284.96, 393.47 and 212.06 is: 292.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.96 : 393.47 = 212.06 : x
  2. Step 2: Convert to fraction form
    284.96/393.47 = 212.06/x
  3. Step 3: Cross multiply
    284.96x = 393.47 × 212.06
  4. Step 4: Simplify right side
    284.96x = 83,439.25
  5. Step 5: Solve for x
    x = 83,439.25/284.96
  6. Step 6: Final answer
    x = 292.81

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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.