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Finding the Fourth Proportional to 265.02, 397 and 200.43

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Solution

The fourth proportional to 265.02, 397 and 200.43 is: 300.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 397 = 200.43 : x
  2. Step 2: Convert to fraction form
    265.02/397 = 200.43/x
  3. Step 3: Cross multiply
    265.02x = 397 × 200.43
  4. Step 4: Simplify right side
    265.02x = 79,570.71
  5. Step 5: Solve for x
    x = 79,570.71/265.02
  6. Step 6: Final answer
    x = 300.24

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.