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Finding the Fourth Proportional to 223.21, 307.70 and 160.93

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Solution

The fourth proportional to 223.21, 307.70 and 160.93 is: 221.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.21 : 307.70 = 160.93 : x
  2. Step 2: Convert to fraction form
    223.21/307.70 = 160.93/x
  3. Step 3: Cross multiply
    223.21x = 307.70 × 160.93
  4. Step 4: Simplify right side
    223.21x = 49,517.36
  5. Step 5: Solve for x
    x = 49,517.36/223.21
  6. Step 6: Final answer
    x = 221.84

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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.