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Finding the Fourth Proportional to 508.17, 762.21 and 200.10

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Solution

The fourth proportional to 508.17, 762.21 and 200.10 is: 300.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.17 : 762.21 = 200.10 : x
  2. Step 2: Convert to fraction form
    508.17/762.21 = 200.10/x
  3. Step 3: Cross multiply
    508.17x = 762.21 × 200.10
  4. Step 4: Simplify right side
    508.17x = 152,518.22
  5. Step 5: Solve for x
    x = 152,518.22/508.17
  6. Step 6: Final answer
    x = 300.13

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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.