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Finding the Fourth Proportional to 196.09, 293.62 and 144.66

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Solution

The fourth proportional to 196.09, 293.62 and 144.66 is: 216.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.09 : 293.62 = 144.66 : x
  2. Step 2: Convert to fraction form
    196.09/293.62 = 144.66/x
  3. Step 3: Cross multiply
    196.09x = 293.62 × 144.66
  4. Step 4: Simplify right side
    196.09x = 42,475.07
  5. Step 5: Solve for x
    x = 42,475.07/196.09
  6. Step 6: Final answer
    x = 216.61

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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.