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Finding the Fourth Proportional to 213.32, 319.98 and 117.32

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Solution

The fourth proportional to 213.32, 319.98 and 117.32 is: 175.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.32 : 319.98 = 117.32 : x
  2. Step 2: Convert to fraction form
    213.32/319.98 = 117.32/x
  3. Step 3: Cross multiply
    213.32x = 319.98 × 117.32
  4. Step 4: Simplify right side
    213.32x = 37,540.05
  5. Step 5: Solve for x
    x = 37,540.05/213.32
  6. Step 6: Final answer
    x = 175.98

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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.