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Finding the Fourth Proportional to 370.94, 556.05 and 208.27

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Solution

The fourth proportional to 370.94, 556.05 and 208.27 is: 312.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 556.05 = 208.27 : x
  2. Step 2: Convert to fraction form
    370.94/556.05 = 208.27/x
  3. Step 3: Cross multiply
    370.94x = 556.05 × 208.27
  4. Step 4: Simplify right side
    370.94x = 115,808.53
  5. Step 5: Solve for x
    x = 115,808.53/370.94
  6. Step 6: Final answer
    x = 312.20

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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.