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Finding the Fourth Proportional to 270, 404.62 and 178.76

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Solution

The fourth proportional to 270, 404.62 and 178.76 is: 267.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    270 : 404.62 = 178.76 : x
  2. Step 2: Convert to fraction form
    270/404.62 = 178.76/x
  3. Step 3: Cross multiply
    270x = 404.62 × 178.76
  4. Step 4: Simplify right side
    270x = 72,329.87
  5. Step 5: Solve for x
    x = 72,329.87/270
  6. Step 6: Final answer
    x = 267.89

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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.