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Finding the Fourth Proportional to 224.96, 309.64 and 159.35

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Solution

The fourth proportional to 224.96, 309.64 and 159.35 is: 219.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.96 : 309.64 = 159.35 : x
  2. Step 2: Convert to fraction form
    224.96/309.64 = 159.35/x
  3. Step 3: Cross multiply
    224.96x = 309.64 × 159.35
  4. Step 4: Simplify right side
    224.96x = 49,340.35
  5. Step 5: Solve for x
    x = 49,340.35/224.96
  6. Step 6: Final answer
    x = 219.33

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Why These Related Problems?

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