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Finding the Fourth Proportional to 270.42, 404.76 and 148.38

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Solution

The fourth proportional to 270.42, 404.76 and 148.38 is: 222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 404.76 = 148.38 : x
  2. Step 2: Convert to fraction form
    270.42/404.76 = 148.38/x
  3. Step 3: Cross multiply
    270.42x = 404.76 × 148.38
  4. Step 4: Simplify right side
    270.42x = 60,058.29
  5. Step 5: Solve for x
    x = 60,058.29/270.42
  6. Step 6: Final answer
    x = 222.09

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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.