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Finding the Fourth Proportional to 222.99, 307.72 and 129.74

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Solution

The fourth proportional to 222.99, 307.72 and 129.74 is: 179.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.99 : 307.72 = 129.74 : x
  2. Step 2: Convert to fraction form
    222.99/307.72 = 129.74/x
  3. Step 3: Cross multiply
    222.99x = 307.72 × 129.74
  4. Step 4: Simplify right side
    222.99x = 39,923.59
  5. Step 5: Solve for x
    x = 39,923.59/222.99
  6. Step 6: Final answer
    x = 179.04

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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.