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Finding the Fourth Proportional to 270.23, 404.65 and 178.64

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Solution

The fourth proportional to 270.23, 404.65 and 178.64 is: 267.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.23 : 404.65 = 178.64 : x
  2. Step 2: Convert to fraction form
    270.23/404.65 = 178.64/x
  3. Step 3: Cross multiply
    270.23x = 404.65 × 178.64
  4. Step 4: Simplify right side
    270.23x = 72,287.24
  5. Step 5: Solve for x
    x = 72,287.24/270.23
  6. Step 6: Final answer
    x = 267.51

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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.