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Finding the Fourth Proportional to 212.46, 316.68 and 200.28

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Solution

The fourth proportional to 212.46, 316.68 and 200.28 is: 298.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.46 : 316.68 = 200.28 : x
  2. Step 2: Convert to fraction form
    212.46/316.68 = 200.28/x
  3. Step 3: Cross multiply
    212.46x = 316.68 × 200.28
  4. Step 4: Simplify right side
    212.46x = 63,424.67
  5. Step 5: Solve for x
    x = 63,424.67/212.46
  6. Step 6: Final answer
    x = 298.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.