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Finding the Fourth Proportional to 222.15, 306.49 and 189.07

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Solution

The fourth proportional to 222.15, 306.49 and 189.07 is: 260.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.15 : 306.49 = 189.07 : x
  2. Step 2: Convert to fraction form
    222.15/306.49 = 189.07/x
  3. Step 3: Cross multiply
    222.15x = 306.49 × 189.07
  4. Step 4: Simplify right side
    222.15x = 57,948.06
  5. Step 5: Solve for x
    x = 57,948.06/222.15
  6. Step 6: Final answer
    x = 260.85

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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.