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Finding the Fourth Proportional to 212.99, 319.76 and 110.34

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Solution

The fourth proportional to 212.99, 319.76 and 110.34 is: 165.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.99 : 319.76 = 110.34 : x
  2. Step 2: Convert to fraction form
    212.99/319.76 = 110.34/x
  3. Step 3: Cross multiply
    212.99x = 319.76 × 110.34
  4. Step 4: Simplify right side
    212.99x = 35,281.77
  5. Step 5: Solve for x
    x = 35,281.77/212.99
  6. Step 6: Final answer
    x = 165.65

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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.