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Finding the Fourth Proportional to 270.76, 406.38 and 173.46

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Solution

The fourth proportional to 270.76, 406.38 and 173.46 is: 260.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.76 : 406.38 = 173.46 : x
  2. Step 2: Convert to fraction form
    270.76/406.38 = 173.46/x
  3. Step 3: Cross multiply
    270.76x = 406.38 × 173.46
  4. Step 4: Simplify right side
    270.76x = 70,490.67
  5. Step 5: Solve for x
    x = 70,490.67/270.76
  6. Step 6: Final answer
    x = 260.34

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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.