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Finding the Fourth Proportional to 213.58, 320.48 and 105.31

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Solution

The fourth proportional to 213.58, 320.48 and 105.31 is: 158.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.58 : 320.48 = 105.31 : x
  2. Step 2: Convert to fraction form
    213.58/320.48 = 105.31/x
  3. Step 3: Cross multiply
    213.58x = 320.48 × 105.31
  4. Step 4: Simplify right side
    213.58x = 33,749.75
  5. Step 5: Solve for x
    x = 33,749.75/213.58
  6. Step 6: Final answer
    x = 158.02

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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.