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Finding the Fourth Proportional to 224.38, 336.67 and 152.36

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Solution

The fourth proportional to 224.38, 336.67 and 152.36 is: 228.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.38 : 336.67 = 152.36 : x
  2. Step 2: Convert to fraction form
    224.38/336.67 = 152.36/x
  3. Step 3: Cross multiply
    224.38x = 336.67 × 152.36
  4. Step 4: Simplify right side
    224.38x = 51,292.98
  5. Step 5: Solve for x
    x = 51,292.98/224.38
  6. Step 6: Final answer
    x = 228.60

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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.