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Finding the Fourth Proportional to 251.91, 377.46 and 215.46

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Solution

The fourth proportional to 251.91, 377.46 and 215.46 is: 322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.91 : 377.46 = 215.46 : x
  2. Step 2: Convert to fraction form
    251.91/377.46 = 215.46/x
  3. Step 3: Cross multiply
    251.91x = 377.46 × 215.46
  4. Step 4: Simplify right side
    251.91x = 81,327.53
  5. Step 5: Solve for x
    x = 81,327.53/251.91
  6. Step 6: Final answer
    x = 322.84

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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.