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Finding the Fourth Proportional to 251.50, 346.94 and 233.92

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Solution

The fourth proportional to 251.50, 346.94 and 233.92 is: 322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.50 : 346.94 = 233.92 : x
  2. Step 2: Convert to fraction form
    251.50/346.94 = 233.92/x
  3. Step 3: Cross multiply
    251.50x = 346.94 × 233.92
  4. Step 4: Simplify right side
    251.50x = 81,156.20
  5. Step 5: Solve for x
    x = 81,156.20/251.50
  6. Step 6: Final answer
    x = 322.69

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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.