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Finding the Fourth Proportional to 270.14, 372.74 and 176.78

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Solution

The fourth proportional to 270.14, 372.74 and 176.78 is: 243.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.14 : 372.74 = 176.78 : x
  2. Step 2: Convert to fraction form
    270.14/372.74 = 176.78/x
  3. Step 3: Cross multiply
    270.14x = 372.74 × 176.78
  4. Step 4: Simplify right side
    270.14x = 65,892.98
  5. Step 5: Solve for x
    x = 65,892.98/270.14
  6. Step 6: Final answer
    x = 243.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.