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Finding the Fourth Proportional to 270.53, 405.42 and 177.86

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Solution

The fourth proportional to 270.53, 405.42 and 177.86 is: 266.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.53 : 405.42 = 177.86 : x
  2. Step 2: Convert to fraction form
    270.53/405.42 = 177.86/x
  3. Step 3: Cross multiply
    270.53x = 405.42 × 177.86
  4. Step 4: Simplify right side
    270.53x = 72,105.97
  5. Step 5: Solve for x
    x = 72,105.97/270.53
  6. Step 6: Final answer
    x = 266.54

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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.