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Finding the Fourth Proportional to 404.42, 606.76 and 188.14

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Solution

The fourth proportional to 404.42, 606.76 and 188.14 is: 282.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.42 : 606.76 = 188.14 : x
  2. Step 2: Convert to fraction form
    404.42/606.76 = 188.14/x
  3. Step 3: Cross multiply
    404.42x = 606.76 × 188.14
  4. Step 4: Simplify right side
    404.42x = 114,155.83
  5. Step 5: Solve for x
    x = 114,155.83/404.42
  6. Step 6: Final answer
    x = 282.27

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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.