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Finding the Fourth Proportional to 251.63, 346.82 and 232.01

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Solution

The fourth proportional to 251.63, 346.82 and 232.01 is: 319.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.63 : 346.82 = 232.01 : x
  2. Step 2: Convert to fraction form
    251.63/346.82 = 232.01/x
  3. Step 3: Cross multiply
    251.63x = 346.82 × 232.01
  4. Step 4: Simplify right side
    251.63x = 80,462.81
  5. Step 5: Solve for x
    x = 80,462.81/251.63
  6. Step 6: Final answer
    x = 319.77

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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.