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Finding the Fourth Proportional to 253.84, 349.50 and 226.30

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Solution

The fourth proportional to 253.84, 349.50 and 226.30 is: 311.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    253.84 : 349.50 = 226.30 : x
  2. Step 2: Convert to fraction form
    253.84/349.50 = 226.30/x
  3. Step 3: Cross multiply
    253.84x = 349.50 × 226.30
  4. Step 4: Simplify right side
    253.84x = 79,091.85
  5. Step 5: Solve for x
    x = 79,091.85/253.84
  6. Step 6: Final answer
    x = 311.58

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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.