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Finding the Fourth Proportional to 270.49, 405.73 and 194.10

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Solution

The fourth proportional to 270.49, 405.73 and 194.10 is: 291.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.49 : 405.73 = 194.10 : x
  2. Step 2: Convert to fraction form
    270.49/405.73 = 194.10/x
  3. Step 3: Cross multiply
    270.49x = 405.73 × 194.10
  4. Step 4: Simplify right side
    270.49x = 78,751.46
  5. Step 5: Solve for x
    x = 78,751.46/270.49
  6. Step 6: Final answer
    x = 291.14

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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.