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Finding the Fourth Proportional to 369.82, 510.26 and 222.40

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Solution

The fourth proportional to 369.82, 510.26 and 222.40 is: 306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.82 : 510.26 = 222.40 : x
  2. Step 2: Convert to fraction form
    369.82/510.26 = 222.40/x
  3. Step 3: Cross multiply
    369.82x = 510.26 × 222.40
  4. Step 4: Simplify right side
    369.82x = 113,479.44
  5. Step 5: Solve for x
    x = 113,479.44/369.82
  6. Step 6: Final answer
    x = 306.85

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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.