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Finding the Fourth Proportional to 270.20, 405.47 and 116.17

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Solution

The fourth proportional to 270.20, 405.47 and 116.17 is: 174.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.20 : 405.47 = 116.17 : x
  2. Step 2: Convert to fraction form
    270.20/405.47 = 116.17/x
  3. Step 3: Cross multiply
    270.20x = 405.47 × 116.17
  4. Step 4: Simplify right side
    270.20x = 47,102.73
  5. Step 5: Solve for x
    x = 47,102.73/270.20
  6. Step 6: Final answer
    x = 174.32

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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.