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Finding the Fourth Proportional to 233.81, 349.49 and 164.87

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Solution

The fourth proportional to 233.81, 349.49 and 164.87 is: 246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.81 : 349.49 = 164.87 : x
  2. Step 2: Convert to fraction form
    233.81/349.49 = 164.87/x
  3. Step 3: Cross multiply
    233.81x = 349.49 × 164.87
  4. Step 4: Simplify right side
    233.81x = 57,620.83
  5. Step 5: Solve for x
    x = 57,620.83/233.81
  6. Step 6: Final answer
    x = 246.44

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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.