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Finding the Fourth Proportional to 233.17, 349.96 and 122.06

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Solution

The fourth proportional to 233.17, 349.96 and 122.06 is: 183.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.17 : 349.96 = 122.06 : x
  2. Step 2: Convert to fraction form
    233.17/349.96 = 122.06/x
  3. Step 3: Cross multiply
    233.17x = 349.96 × 122.06
  4. Step 4: Simplify right side
    233.17x = 42,716.12
  5. Step 5: Solve for x
    x = 42,716.12/233.17
  6. Step 6: Final answer
    x = 183.20

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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.