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Finding the Fourth Proportional to 196.00, 293.69 and 123.71

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Solution

The fourth proportional to 196.00, 293.69 and 123.71 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.00 : 293.69 = 123.71 : x
  2. Step 2: Convert to fraction form
    196.00/293.69 = 123.71/x
  3. Step 3: Cross multiply
    196.00x = 293.69 × 123.71
  4. Step 4: Simplify right side
    196.00x = 36,330.77
  5. Step 5: Solve for x
    x = 36,330.77/196.00
  6. Step 6: Final answer
    x = 185.36

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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.