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Finding the Fourth Proportional to 314.49, 472.14 and 192.99

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Solution

The fourth proportional to 314.49, 472.14 and 192.99 is: 289.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.49 : 472.14 = 192.99 : x
  2. Step 2: Convert to fraction form
    314.49/472.14 = 192.99/x
  3. Step 3: Cross multiply
    314.49x = 472.14 × 192.99
  4. Step 4: Simplify right side
    314.49x = 91,118.30
  5. Step 5: Solve for x
    x = 91,118.30/314.49
  6. Step 6: Final answer
    x = 289.73

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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.