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Finding the Fourth Proportional to 196.74, 294.84 and 176.05

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Solution

The fourth proportional to 196.74, 294.84 and 176.05 is: 263.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    196.74 : 294.84 = 176.05 : x
  2. Step 2: Convert to fraction form
    196.74/294.84 = 176.05/x
  3. Step 3: Cross multiply
    196.74x = 294.84 × 176.05
  4. Step 4: Simplify right side
    196.74x = 51,905.11
  5. Step 5: Solve for x
    x = 51,905.11/196.74
  6. Step 6: Final answer
    x = 263.83

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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.