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Finding the Fourth Proportional to 233.05, 349.32 and 117.31

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Solution

The fourth proportional to 233.05, 349.32 and 117.31 is: 175.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.05 : 349.32 = 117.31 : x
  2. Step 2: Convert to fraction form
    233.05/349.32 = 117.31/x
  3. Step 3: Cross multiply
    233.05x = 349.32 × 117.31
  4. Step 4: Simplify right side
    233.05x = 40,978.73
  5. Step 5: Solve for x
    x = 40,978.73/233.05
  6. Step 6: Final answer
    x = 175.84

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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.