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Finding the Fourth Proportional to 196.81, 294.60 and 180.01

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Solution

The fourth proportional to 196.81, 294.60 and 180.01 is: 269.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.81 : 294.60 = 180.01 : x
  2. Step 2: Convert to fraction form
    196.81/294.60 = 180.01/x
  3. Step 3: Cross multiply
    196.81x = 294.60 × 180.01
  4. Step 4: Simplify right side
    196.81x = 53,029.47
  5. Step 5: Solve for x
    x = 53,029.47/196.81
  6. Step 6: Final answer
    x = 269.45

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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.