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Finding the Fourth Proportional to 213.07, 319.75 and 110.32

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Solution

The fourth proportional to 213.07, 319.75 and 110.32 is: 165.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 319.75 = 110.32 : x
  2. Step 2: Convert to fraction form
    213.07/319.75 = 110.32/x
  3. Step 3: Cross multiply
    213.07x = 319.75 × 110.32
  4. Step 4: Simplify right side
    213.07x = 35,274.82
  5. Step 5: Solve for x
    x = 35,274.82/213.07
  6. Step 6: Final answer
    x = 165.56

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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.