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Finding the Fourth Proportional to 198.36, 272.04 and 176.46

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Solution

The fourth proportional to 198.36, 272.04 and 176.46 is: 242.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.36 : 272.04 = 176.46 : x
  2. Step 2: Convert to fraction form
    198.36/272.04 = 176.46/x
  3. Step 3: Cross multiply
    198.36x = 272.04 × 176.46
  4. Step 4: Simplify right side
    198.36x = 48,004.18
  5. Step 5: Solve for x
    x = 48,004.18/198.36
  6. Step 6: Final answer
    x = 242.01

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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.