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Finding the Fourth Proportional to 212.49, 319.07 and 178.52

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Solution

The fourth proportional to 212.49, 319.07 and 178.52 is: 268.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.49 : 319.07 = 178.52 : x
  2. Step 2: Convert to fraction form
    212.49/319.07 = 178.52/x
  3. Step 3: Cross multiply
    212.49x = 319.07 × 178.52
  4. Step 4: Simplify right side
    212.49x = 56,959.23
  5. Step 5: Solve for x
    x = 56,959.23/212.49
  6. Step 6: Final answer
    x = 268.06

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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.