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Finding the Fourth Proportional to 212.43, 319 and 177.68

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Solution

The fourth proportional to 212.43, 319 and 177.68 is: 266.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.43 : 319 = 177.68 : x
  2. Step 2: Convert to fraction form
    212.43/319 = 177.68/x
  3. Step 3: Cross multiply
    212.43x = 319 × 177.68
  4. Step 4: Simplify right side
    212.43x = 56,679.92
  5. Step 5: Solve for x
    x = 56,679.92/212.43
  6. Step 6: Final answer
    x = 266.82

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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.