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Finding the Fourth Proportional to 233.56, 349.86 and 137.32

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Solution

The fourth proportional to 233.56, 349.86 and 137.32 is: 205.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.56 : 349.86 = 137.32 : x
  2. Step 2: Convert to fraction form
    233.56/349.86 = 137.32/x
  3. Step 3: Cross multiply
    233.56x = 349.86 × 137.32
  4. Step 4: Simplify right side
    233.56x = 48,042.78
  5. Step 5: Solve for x
    x = 48,042.78/233.56
  6. Step 6: Final answer
    x = 205.70

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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.