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Finding the Fourth Proportional to 270.90, 406.47 and 97.62

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Solution

The fourth proportional to 270.90, 406.47 and 97.62 is: 146.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.90 : 406.47 = 97.62 : x
  2. Step 2: Convert to fraction form
    270.90/406.47 = 97.62/x
  3. Step 3: Cross multiply
    270.90x = 406.47 × 97.62
  4. Step 4: Simplify right side
    270.90x = 39,679.60
  5. Step 5: Solve for x
    x = 39,679.60/270.90
  6. Step 6: Final answer
    x = 146.47

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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.