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Finding the Fourth Proportional to 270.04, 404.70 and 125.50

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Solution

The fourth proportional to 270.04, 404.70 and 125.50 is: 188.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.04 : 404.70 = 125.50 : x
  2. Step 2: Convert to fraction form
    270.04/404.70 = 125.50/x
  3. Step 3: Cross multiply
    270.04x = 404.70 × 125.50
  4. Step 4: Simplify right side
    270.04x = 50,789.85
  5. Step 5: Solve for x
    x = 50,789.85/270.04
  6. Step 6: Final answer
    x = 188.08

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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.