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Finding the Fourth Proportional to 224.84, 337.07 and 192.21

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Solution

The fourth proportional to 224.84, 337.07 and 192.21 is: 288.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.84 : 337.07 = 192.21 : x
  2. Step 2: Convert to fraction form
    224.84/337.07 = 192.21/x
  3. Step 3: Cross multiply
    224.84x = 337.07 × 192.21
  4. Step 4: Simplify right side
    224.84x = 64,787.26
  5. Step 5: Solve for x
    x = 64,787.26/224.84
  6. Step 6: Final answer
    x = 288.15

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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.