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Finding the Fourth Proportional to 369.19, 553.42 and 206.52

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Solution

The fourth proportional to 369.19, 553.42 and 206.52 is: 309.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.19 : 553.42 = 206.52 : x
  2. Step 2: Convert to fraction form
    369.19/553.42 = 206.52/x
  3. Step 3: Cross multiply
    369.19x = 553.42 × 206.52
  4. Step 4: Simplify right side
    369.19x = 114,292.30
  5. Step 5: Solve for x
    x = 114,292.30/369.19
  6. Step 6: Final answer
    x = 309.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.