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Finding the Fourth Proportional to 510.56, 766.24 and 222.20

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Solution

The fourth proportional to 510.56, 766.24 and 222.20 is: 333.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.56 : 766.24 = 222.20 : x
  2. Step 2: Convert to fraction form
    510.56/766.24 = 222.20/x
  3. Step 3: Cross multiply
    510.56x = 766.24 × 222.20
  4. Step 4: Simplify right side
    510.56x = 170,258.53
  5. Step 5: Solve for x
    x = 170,258.53/510.56
  6. Step 6: Final answer
    x = 333.47

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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.