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Finding the Fourth Proportional to 213.07, 319.34 and 97.35

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Solution

The fourth proportional to 213.07, 319.34 and 97.35 is: 145.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.07 : 319.34 = 97.35 : x
  2. Step 2: Convert to fraction form
    213.07/319.34 = 97.35/x
  3. Step 3: Cross multiply
    213.07x = 319.34 × 97.35
  4. Step 4: Simplify right side
    213.07x = 31,087.99
  5. Step 5: Solve for x
    x = 31,087.99/213.07
  6. Step 6: Final answer
    x = 145.91

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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.