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Finding the Fourth Proportional to 265.37, 397.89 and 100.83

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Solution

The fourth proportional to 265.37, 397.89 and 100.83 is: 151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.37 : 397.89 = 100.83 : x
  2. Step 2: Convert to fraction form
    265.37/397.89 = 100.83/x
  3. Step 3: Cross multiply
    265.37x = 397.89 × 100.83
  4. Step 4: Simplify right side
    265.37x = 40,119.25
  5. Step 5: Solve for x
    x = 40,119.25/265.37
  6. Step 6: Final answer
    x = 151.19

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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.