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Finding the Fourth Proportional to 254.50, 379.82 and 229.89

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Solution

The fourth proportional to 254.50, 379.82 and 229.89 is: 343.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    254.50 : 379.82 = 229.89 : x
  2. Step 2: Convert to fraction form
    254.50/379.82 = 229.89/x
  3. Step 3: Cross multiply
    254.50x = 379.82 × 229.89
  4. Step 4: Simplify right side
    254.50x = 87,317.40
  5. Step 5: Solve for x
    x = 87,317.40/254.50
  6. Step 6: Final answer
    x = 343.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.