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Finding the Fourth Proportional to 369.18, 553.78 and 198.18

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Solution

The fourth proportional to 369.18, 553.78 and 198.18 is: 297.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.18 : 553.78 = 198.18 : x
  2. Step 2: Convert to fraction form
    369.18/553.78 = 198.18/x
  3. Step 3: Cross multiply
    369.18x = 553.78 × 198.18
  4. Step 4: Simplify right side
    369.18x = 109,748.12
  5. Step 5: Solve for x
    x = 109,748.12/369.18
  6. Step 6: Final answer
    x = 297.28

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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.