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Finding the Fourth Proportional to 224.35, 309.89 and 165.45

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Solution

The fourth proportional to 224.35, 309.89 and 165.45 is: 228.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.35 : 309.89 = 165.45 : x
  2. Step 2: Convert to fraction form
    224.35/309.89 = 165.45/x
  3. Step 3: Cross multiply
    224.35x = 309.89 × 165.45
  4. Step 4: Simplify right side
    224.35x = 51,272.88
  5. Step 5: Solve for x
    x = 51,272.88/224.35
  6. Step 6: Final answer
    x = 228.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.