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Finding the Fourth Proportional to 251.35, 346.96 and 153.11

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Solution

The fourth proportional to 251.35, 346.96 and 153.11 is: 211.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.35 : 346.96 = 153.11 : x
  2. Step 2: Convert to fraction form
    251.35/346.96 = 153.11/x
  3. Step 3: Cross multiply
    251.35x = 346.96 × 153.11
  4. Step 4: Simplify right side
    251.35x = 53,122.28
  5. Step 5: Solve for x
    x = 53,122.28/251.35
  6. Step 6: Final answer
    x = 211.35

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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.