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Finding the Fourth Proportional to 198.02, 271.93 and 176.18

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Solution

The fourth proportional to 198.02, 271.93 and 176.18 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.02 : 271.93 = 176.18 : x
  2. Step 2: Convert to fraction form
    198.02/271.93 = 176.18/x
  3. Step 3: Cross multiply
    198.02x = 271.93 × 176.18
  4. Step 4: Simplify right side
    198.02x = 47,908.63
  5. Step 5: Solve for x
    x = 47,908.63/198.02
  6. Step 6: Final answer
    x = 241.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.