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Finding the Fourth Proportional to 212.99, 319.59 and 104.76

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Solution

The fourth proportional to 212.99, 319.59 and 104.76 is: 157.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.99 : 319.59 = 104.76 : x
  2. Step 2: Convert to fraction form
    212.99/319.59 = 104.76/x
  3. Step 3: Cross multiply
    212.99x = 319.59 × 104.76
  4. Step 4: Simplify right side
    212.99x = 33,480.25
  5. Step 5: Solve for x
    x = 33,480.25/212.99
  6. Step 6: Final answer
    x = 157.20

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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.