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Finding the Fourth Proportional to 233.37, 349.56 and 187.47

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Solution

The fourth proportional to 233.37, 349.56 and 187.47 is: 280.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.37 : 349.56 = 187.47 : x
  2. Step 2: Convert to fraction form
    233.37/349.56 = 187.47/x
  3. Step 3: Cross multiply
    233.37x = 349.56 × 187.47
  4. Step 4: Simplify right side
    233.37x = 65,532.01
  5. Step 5: Solve for x
    x = 65,532.01/233.37
  6. Step 6: Final answer
    x = 280.81

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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.