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Finding the Fourth Proportional to 222.89, 307.47 and 160.88

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Solution

The fourth proportional to 222.89, 307.47 and 160.88 is: 221.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.89 : 307.47 = 160.88 : x
  2. Step 2: Convert to fraction form
    222.89/307.47 = 160.88/x
  3. Step 3: Cross multiply
    222.89x = 307.47 × 160.88
  4. Step 4: Simplify right side
    222.89x = 49,464.24
  5. Step 5: Solve for x
    x = 49,464.24/222.89
  6. Step 6: Final answer
    x = 221.92

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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.