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Finding the Fourth Proportional to 270.18, 405.27 and 209.13

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Solution

The fourth proportional to 270.18, 405.27 and 209.13 is: 313.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.18 : 405.27 = 209.13 : x
  2. Step 2: Convert to fraction form
    270.18/405.27 = 209.13/x
  3. Step 3: Cross multiply
    270.18x = 405.27 × 209.13
  4. Step 4: Simplify right side
    270.18x = 84,752.60
  5. Step 5: Solve for x
    x = 84,752.60/270.18
  6. Step 6: Final answer
    x = 313.69

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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.