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Finding the Fourth Proportional to 198.84, 299.48 and 176.24

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Solution

The fourth proportional to 198.84, 299.48 and 176.24 is: 265.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.84 : 299.48 = 176.24 : x
  2. Step 2: Convert to fraction form
    198.84/299.48 = 176.24/x
  3. Step 3: Cross multiply
    198.84x = 299.48 × 176.24
  4. Step 4: Simplify right side
    198.84x = 52,780.36
  5. Step 5: Solve for x
    x = 52,780.36/198.84
  6. Step 6: Final answer
    x = 265.44

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.