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Finding the Fourth Proportional to 213.06, 319.50 and 76.08

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Solution

The fourth proportional to 213.06, 319.50 and 76.08 is: 114.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.06 : 319.50 = 76.08 : x
  2. Step 2: Convert to fraction form
    213.06/319.50 = 76.08/x
  3. Step 3: Cross multiply
    213.06x = 319.50 × 76.08
  4. Step 4: Simplify right side
    213.06x = 24,307.56
  5. Step 5: Solve for x
    x = 24,307.56/213.06
  6. Step 6: Final answer
    x = 114.09

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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.