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Finding the Fourth Proportional to 265.02, 397.35 and 200.94

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Solution

The fourth proportional to 265.02, 397.35 and 200.94 is: 301.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.02 : 397.35 = 200.94 : x
  2. Step 2: Convert to fraction form
    265.02/397.35 = 200.94/x
  3. Step 3: Cross multiply
    265.02x = 397.35 × 200.94
  4. Step 4: Simplify right side
    265.02x = 79,843.51
  5. Step 5: Solve for x
    x = 79,843.51/265.02
  6. Step 6: Final answer
    x = 301.27

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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.