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Finding the Fourth Proportional to 222.90, 307.24 and 160.64

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Solution

The fourth proportional to 222.90, 307.24 and 160.64 is: 221.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.90 : 307.24 = 160.64 : x
  2. Step 2: Convert to fraction form
    222.90/307.24 = 160.64/x
  3. Step 3: Cross multiply
    222.90x = 307.24 × 160.64
  4. Step 4: Simplify right side
    222.90x = 49,355.40
  5. Step 5: Solve for x
    x = 49,355.40/222.90
  6. Step 6: Final answer
    x = 221.42

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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.