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Finding the Fourth Proportional to 145.06, 198.96 and 141.42

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Solution

The fourth proportional to 145.06, 198.96 and 141.42 is: 193.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.06 : 198.96 = 141.42 : x
  2. Step 2: Convert to fraction form
    145.06/198.96 = 141.42/x
  3. Step 3: Cross multiply
    145.06x = 198.96 × 141.42
  4. Step 4: Simplify right side
    145.06x = 28,136.92
  5. Step 5: Solve for x
    x = 28,136.92/145.06
  6. Step 6: Final answer
    x = 193.97

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.