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Finding the Fourth Proportional to 243.94, 336.28 and 214.55

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Solution

The fourth proportional to 243.94, 336.28 and 214.55 is: 295.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.94 : 336.28 = 214.55 : x
  2. Step 2: Convert to fraction form
    243.94/336.28 = 214.55/x
  3. Step 3: Cross multiply
    243.94x = 336.28 × 214.55
  4. Step 4: Simplify right side
    243.94x = 72,148.87
  5. Step 5: Solve for x
    x = 72,148.87/243.94
  6. Step 6: Final answer
    x = 295.76

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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.