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Finding the Fourth Proportional to 233.07, 349.66 and 164.73

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Solution

The fourth proportional to 233.07, 349.66 and 164.73 is: 247.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.07 : 349.66 = 164.73 : x
  2. Step 2: Convert to fraction form
    233.07/349.66 = 164.73/x
  3. Step 3: Cross multiply
    233.07x = 349.66 × 164.73
  4. Step 4: Simplify right side
    233.07x = 57,599.49
  5. Step 5: Solve for x
    x = 57,599.49/233.07
  6. Step 6: Final answer
    x = 247.13

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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.