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Finding the Fourth Proportional to 196.86, 293.65 and 182.32

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Solution

The fourth proportional to 196.86, 293.65 and 182.32 is: 271.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.86 : 293.65 = 182.32 : x
  2. Step 2: Convert to fraction form
    196.86/293.65 = 182.32/x
  3. Step 3: Cross multiply
    196.86x = 293.65 × 182.32
  4. Step 4: Simplify right side
    196.86x = 53,538.27
  5. Step 5: Solve for x
    x = 53,538.27/196.86
  6. Step 6: Final answer
    x = 271.96

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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.