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Finding the Fourth Proportional to 196.46, 293.24 and 180.23

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Solution

The fourth proportional to 196.46, 293.24 and 180.23 is: 269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.46 : 293.24 = 180.23 : x
  2. Step 2: Convert to fraction form
    196.46/293.24 = 180.23/x
  3. Step 3: Cross multiply
    196.46x = 293.24 × 180.23
  4. Step 4: Simplify right side
    196.46x = 52,848.28
  5. Step 5: Solve for x
    x = 52,848.28/196.46
  6. Step 6: Final answer
    x = 269.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.