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Finding the Fourth Proportional to 401.42, 602.13 and 195.89

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Solution

The fourth proportional to 401.42, 602.13 and 195.89 is: 293.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.42 : 602.13 = 195.89 : x
  2. Step 2: Convert to fraction form
    401.42/602.13 = 195.89/x
  3. Step 3: Cross multiply
    401.42x = 602.13 × 195.89
  4. Step 4: Simplify right side
    401.42x = 117,948.24
  5. Step 5: Solve for x
    x = 117,948.24/401.42
  6. Step 6: Final answer
    x = 293.83

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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.