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Finding the Fourth Proportional to 270.21, 405.14 and 116.09

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Solution

The fourth proportional to 270.21, 405.14 and 116.09 is: 174.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.21 : 405.14 = 116.09 : x
  2. Step 2: Convert to fraction form
    270.21/405.14 = 116.09/x
  3. Step 3: Cross multiply
    270.21x = 405.14 × 116.09
  4. Step 4: Simplify right side
    270.21x = 47,030.10
  5. Step 5: Solve for x
    x = 47,030.10/270.21
  6. Step 6: Final answer
    x = 174.05

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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.