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Finding the Fourth Proportional to 369.87, 553.43 and 207.66

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Solution

The fourth proportional to 369.87, 553.43 and 207.66 is: 310.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.87 : 553.43 = 207.66 : x
  2. Step 2: Convert to fraction form
    369.87/553.43 = 207.66/x
  3. Step 3: Cross multiply
    369.87x = 553.43 × 207.66
  4. Step 4: Simplify right side
    369.87x = 114,924.24
  5. Step 5: Solve for x
    x = 114,924.24/369.87
  6. Step 6: Final answer
    x = 310.72

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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.