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Finding the Fourth Proportional to 270.32, 406.13 and 173.01

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Solution

The fourth proportional to 270.32, 406.13 and 173.01 is: 259.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.32 : 406.13 = 173.01 : x
  2. Step 2: Convert to fraction form
    270.32/406.13 = 173.01/x
  3. Step 3: Cross multiply
    270.32x = 406.13 × 173.01
  4. Step 4: Simplify right side
    270.32x = 70,266.63
  5. Step 5: Solve for x
    x = 70,266.63/270.32
  6. Step 6: Final answer
    x = 259.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.