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Finding the Fourth Proportional to 510.50, 765.22 and 202.22

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Solution

The fourth proportional to 510.50, 765.22 and 202.22 is: 303.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.50 : 765.22 = 202.22 : x
  2. Step 2: Convert to fraction form
    510.50/765.22 = 202.22/x
  3. Step 3: Cross multiply
    510.50x = 765.22 × 202.22
  4. Step 4: Simplify right side
    510.50x = 154,742.79
  5. Step 5: Solve for x
    x = 154,742.79/510.50
  6. Step 6: Final answer
    x = 303.12

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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.