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Finding the Fourth Proportional to 508.47, 762.21 and 200.22

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Solution

The fourth proportional to 508.47, 762.21 and 200.22 is: 300.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.47 : 762.21 = 200.22 : x
  2. Step 2: Convert to fraction form
    508.47/762.21 = 200.22/x
  3. Step 3: Cross multiply
    508.47x = 762.21 × 200.22
  4. Step 4: Simplify right side
    508.47x = 152,609.69
  5. Step 5: Solve for x
    x = 152,609.69/508.47
  6. Step 6: Final answer
    x = 300.14

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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.