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Finding the Fourth Proportional to 270.49, 405.76 and 116.42

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Solution

The fourth proportional to 270.49, 405.76 and 116.42 is: 174.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 405.76 = 116.42 : x
  2. Step 2: Convert to fraction form
    270.49/405.76 = 116.42/x
  3. Step 3: Cross multiply
    270.49x = 405.76 × 116.42
  4. Step 4: Simplify right side
    270.49x = 47,238.29
  5. Step 5: Solve for x
    x = 47,238.29/270.49
  6. Step 6: Final answer
    x = 174.64

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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.