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Finding the Fourth Proportional to 369.76, 510.24 and 222.34

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Solution

The fourth proportional to 369.76, 510.24 and 222.34 is: 306.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.76 : 510.24 = 222.34 : x
  2. Step 2: Convert to fraction form
    369.76/510.24 = 222.34/x
  3. Step 3: Cross multiply
    369.76x = 510.24 × 222.34
  4. Step 4: Simplify right side
    369.76x = 113,446.76
  5. Step 5: Solve for x
    x = 113,446.76/369.76
  6. Step 6: Final answer
    x = 306.81

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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.