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Finding the Fourth Proportional to 212.63, 319.01 and 104.49

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Solution

The fourth proportional to 212.63, 319.01 and 104.49 is: 156.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.63 : 319.01 = 104.49 : x
  2. Step 2: Convert to fraction form
    212.63/319.01 = 104.49/x
  3. Step 3: Cross multiply
    212.63x = 319.01 × 104.49
  4. Step 4: Simplify right side
    212.63x = 33,333.71
  5. Step 5: Solve for x
    x = 33,333.71/212.63
  6. Step 6: Final answer
    x = 156.77

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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.