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Finding the Fourth Proportional to 222.29, 306.10 and 175.85

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Solution

The fourth proportional to 222.29, 306.10 and 175.85 is: 242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.29 : 306.10 = 175.85 : x
  2. Step 2: Convert to fraction form
    222.29/306.10 = 175.85/x
  3. Step 3: Cross multiply
    222.29x = 306.10 × 175.85
  4. Step 4: Simplify right side
    222.29x = 53,827.69
  5. Step 5: Solve for x
    x = 53,827.69/222.29
  6. Step 6: Final answer
    x = 242.15

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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.