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Finding the Fourth Proportional to 232.95, 349.02 and 164.15

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Solution

The fourth proportional to 232.95, 349.02 and 164.15 is: 245.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    232.95 : 349.02 = 164.15 : x
  2. Step 2: Convert to fraction form
    232.95/349.02 = 164.15/x
  3. Step 3: Cross multiply
    232.95x = 349.02 × 164.15
  4. Step 4: Simplify right side
    232.95x = 57,289.89
  5. Step 5: Solve for x
    x = 57,289.89/232.95
  6. Step 6: Final answer
    x = 245.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.