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Finding the Fourth Proportional to 222.50, 306.99 and 129.25

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Solution

The fourth proportional to 222.50, 306.99 and 129.25 is: 178.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 306.99 = 129.25 : x
  2. Step 2: Convert to fraction form
    222.50/306.99 = 129.25/x
  3. Step 3: Cross multiply
    222.50x = 306.99 × 129.25
  4. Step 4: Simplify right side
    222.50x = 39,678.46
  5. Step 5: Solve for x
    x = 39,678.46/222.50
  6. Step 6: Final answer
    x = 178.33

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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.