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Finding the Fourth Proportional to 222.74, 307.19 and 160.98

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Solution

The fourth proportional to 222.74, 307.19 and 160.98 is: 222.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.74 : 307.19 = 160.98 : x
  2. Step 2: Convert to fraction form
    222.74/307.19 = 160.98/x
  3. Step 3: Cross multiply
    222.74x = 307.19 × 160.98
  4. Step 4: Simplify right side
    222.74x = 49,451.45
  5. Step 5: Solve for x
    x = 49,451.45/222.74
  6. Step 6: Final answer
    x = 222.01

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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.