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Finding the Fourth Proportional to 270.62, 406 and 155.12

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Solution

The fourth proportional to 270.62, 406 and 155.12 is: 232.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.62 : 406 = 155.12 : x
  2. Step 2: Convert to fraction form
    270.62/406 = 155.12/x
  3. Step 3: Cross multiply
    270.62x = 406 × 155.12
  4. Step 4: Simplify right side
    270.62x = 62,978.72
  5. Step 5: Solve for x
    x = 62,978.72/270.62
  6. Step 6: Final answer
    x = 232.72

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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.