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Finding the Fourth Proportional to 198.83, 274.35 and 176.79

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Solution

The fourth proportional to 198.83, 274.35 and 176.79 is: 243.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.83 : 274.35 = 176.79 : x
  2. Step 2: Convert to fraction form
    198.83/274.35 = 176.79/x
  3. Step 3: Cross multiply
    198.83x = 274.35 × 176.79
  4. Step 4: Simplify right side
    198.83x = 48,501.76
  5. Step 5: Solve for x
    x = 48,501.76/198.83
  6. Step 6: Final answer
    x = 243.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.