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Finding the Fourth Proportional to 270.42, 404.82 and 174.03

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Solution

The fourth proportional to 270.42, 404.82 and 174.03 is: 260.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.42 : 404.82 = 174.03 : x
  2. Step 2: Convert to fraction form
    270.42/404.82 = 174.03/x
  3. Step 3: Cross multiply
    270.42x = 404.82 × 174.03
  4. Step 4: Simplify right side
    270.42x = 70,450.82
  5. Step 5: Solve for x
    x = 70,450.82/270.42
  6. Step 6: Final answer
    x = 260.52

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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.