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Finding the Fourth Proportional to 265.04, 397.05 and 127.89

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Solution

The fourth proportional to 265.04, 397.05 and 127.89 is: 191.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.04 : 397.05 = 127.89 : x
  2. Step 2: Convert to fraction form
    265.04/397.05 = 127.89/x
  3. Step 3: Cross multiply
    265.04x = 397.05 × 127.89
  4. Step 4: Simplify right side
    265.04x = 50,778.72
  5. Step 5: Solve for x
    x = 50,778.72/265.04
  6. Step 6: Final answer
    x = 191.59

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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.