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Finding the Fourth Proportional to 224.76, 337.29 and 190.53

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Solution

The fourth proportional to 224.76, 337.29 and 190.53 is: 285.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.76 : 337.29 = 190.53 : x
  2. Step 2: Convert to fraction form
    224.76/337.29 = 190.53/x
  3. Step 3: Cross multiply
    224.76x = 337.29 × 190.53
  4. Step 4: Simplify right side
    224.76x = 64,263.86
  5. Step 5: Solve for x
    x = 64,263.86/224.76
  6. Step 6: Final answer
    x = 285.92

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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.