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Finding the Fourth Proportional to 223.07, 307.50 and 160.88

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Solution

The fourth proportional to 223.07, 307.50 and 160.88 is: 221.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.07 : 307.50 = 160.88 : x
  2. Step 2: Convert to fraction form
    223.07/307.50 = 160.88/x
  3. Step 3: Cross multiply
    223.07x = 307.50 × 160.88
  4. Step 4: Simplify right side
    223.07x = 49,469.06
  5. Step 5: Solve for x
    x = 49,469.06/223.07
  6. Step 6: Final answer
    x = 221.77

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