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Finding the Fourth Proportional to 270.03, 405.20 and 116.03

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Solution

The fourth proportional to 270.03, 405.20 and 116.03 is: 174.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.03 : 405.20 = 116.03 : x
  2. Step 2: Convert to fraction form
    270.03/405.20 = 116.03/x
  3. Step 3: Cross multiply
    270.03x = 405.20 × 116.03
  4. Step 4: Simplify right side
    270.03x = 47,016.66
  5. Step 5: Solve for x
    x = 47,016.66/270.03
  6. Step 6: Final answer
    x = 174.11

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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.