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Finding the Fourth Proportional to 213.42, 320.26 and 141.33

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Solution

The fourth proportional to 213.42, 320.26 and 141.33 is: 212.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.42 : 320.26 = 141.33 : x
  2. Step 2: Convert to fraction form
    213.42/320.26 = 141.33/x
  3. Step 3: Cross multiply
    213.42x = 320.26 × 141.33
  4. Step 4: Simplify right side
    213.42x = 45,262.35
  5. Step 5: Solve for x
    x = 45,262.35/213.42
  6. Step 6: Final answer
    x = 212.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.