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Finding the Fourth Proportional to 270.15, 404.59 and 161.70

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Solution

The fourth proportional to 270.15, 404.59 and 161.70 is: 242.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.15 : 404.59 = 161.70 : x
  2. Step 2: Convert to fraction form
    270.15/404.59 = 161.70/x
  3. Step 3: Cross multiply
    270.15x = 404.59 × 161.70
  4. Step 4: Simplify right side
    270.15x = 65,422.20
  5. Step 5: Solve for x
    x = 65,422.20/270.15
  6. Step 6: Final answer
    x = 242.17

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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.