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Finding the Fourth Proportional to 233.56, 349.12 and 164.62

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Solution

The fourth proportional to 233.56, 349.12 and 164.62 is: 246.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 349.12 = 164.62 : x
  2. Step 2: Convert to fraction form
    233.56/349.12 = 164.62/x
  3. Step 3: Cross multiply
    233.56x = 349.12 × 164.62
  4. Step 4: Simplify right side
    233.56x = 57,472.13
  5. Step 5: Solve for x
    x = 57,472.13/233.56
  6. Step 6: Final answer
    x = 246.07

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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.