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Finding the Fourth Proportional to 270.01, 404.38 and 178.48

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Solution

The fourth proportional to 270.01, 404.38 and 178.48 is: 267.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.01 : 404.38 = 178.48 : x
  2. Step 2: Convert to fraction form
    270.01/404.38 = 178.48/x
  3. Step 3: Cross multiply
    270.01x = 404.38 × 178.48
  4. Step 4: Simplify right side
    270.01x = 72,173.74
  5. Step 5: Solve for x
    x = 72,173.74/270.01
  6. Step 6: Final answer
    x = 267.30

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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.