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Finding the Fourth Proportional to 222.72, 307.29 and 160.65

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Solution

The fourth proportional to 222.72, 307.29 and 160.65 is: 221.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.72 : 307.29 = 160.65 : x
  2. Step 2: Convert to fraction form
    222.72/307.29 = 160.65/x
  3. Step 3: Cross multiply
    222.72x = 307.29 × 160.65
  4. Step 4: Simplify right side
    222.72x = 49,366.14
  5. Step 5: Solve for x
    x = 49,366.14/222.72
  6. Step 6: Final answer
    x = 221.65

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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.