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Finding the Fourth Proportional to 356.96, 534.90 and 212.78

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Solution

The fourth proportional to 356.96, 534.90 and 212.78 is: 318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.96 : 534.90 = 212.78 : x
  2. Step 2: Convert to fraction form
    356.96/534.90 = 212.78/x
  3. Step 3: Cross multiply
    356.96x = 534.90 × 212.78
  4. Step 4: Simplify right side
    356.96x = 113,816.02
  5. Step 5: Solve for x
    x = 113,816.02/356.96
  6. Step 6: Final answer
    x = 318.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.