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Finding the Fourth Proportional to 233.09, 349.11 and 187.32

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Solution

The fourth proportional to 233.09, 349.11 and 187.32 is: 280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.09 : 349.11 = 187.32 : x
  2. Step 2: Convert to fraction form
    233.09/349.11 = 187.32/x
  3. Step 3: Cross multiply
    233.09x = 349.11 × 187.32
  4. Step 4: Simplify right side
    233.09x = 65,395.29
  5. Step 5: Solve for x
    x = 65,395.29/233.09
  6. Step 6: Final answer
    x = 280.56

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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.