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Finding the Fourth Proportional to 222.46, 307.03 and 160.49

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Solution

The fourth proportional to 222.46, 307.03 and 160.49 is: 221.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.46 : 307.03 = 160.49 : x
  2. Step 2: Convert to fraction form
    222.46/307.03 = 160.49/x
  3. Step 3: Cross multiply
    222.46x = 307.03 × 160.49
  4. Step 4: Simplify right side
    222.46x = 49,275.24
  5. Step 5: Solve for x
    x = 49,275.24/222.46
  6. Step 6: Final answer
    x = 221.50

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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.