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Finding the Fourth Proportional to 401.87, 602.36 and 195.99

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Solution

The fourth proportional to 401.87, 602.36 and 195.99 is: 293.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.87 : 602.36 = 195.99 : x
  2. Step 2: Convert to fraction form
    401.87/602.36 = 195.99/x
  3. Step 3: Cross multiply
    401.87x = 602.36 × 195.99
  4. Step 4: Simplify right side
    401.87x = 118,055.56
  5. Step 5: Solve for x
    x = 118,055.56/401.87
  6. Step 6: Final answer
    x = 293.77

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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.