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Finding the Fourth Proportional to 265.47, 397.83 and 200.19

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Solution

The fourth proportional to 265.47, 397.83 and 200.19 is: 300.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.47 : 397.83 = 200.19 : x
  2. Step 2: Convert to fraction form
    265.47/397.83 = 200.19/x
  3. Step 3: Cross multiply
    265.47x = 397.83 × 200.19
  4. Step 4: Simplify right side
    265.47x = 79,641.59
  5. Step 5: Solve for x
    x = 79,641.59/265.47
  6. Step 6: Final answer
    x = 300.00

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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.