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Finding the Fourth Proportional to 510.44, 765.20 and 202.14

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Solution

The fourth proportional to 510.44, 765.20 and 202.14 is: 303.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    510.44 : 765.20 = 202.14 : x
  2. Step 2: Convert to fraction form
    510.44/765.20 = 202.14/x
  3. Step 3: Cross multiply
    510.44x = 765.20 × 202.14
  4. Step 4: Simplify right side
    510.44x = 154,677.53
  5. Step 5: Solve for x
    x = 154,677.53/510.44
  6. Step 6: Final answer
    x = 303.03

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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.