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Finding the Fourth Proportional to 212.46, 318.74 and 104.37

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Solution

The fourth proportional to 212.46, 318.74 and 104.37 is: 156.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212.46 : 318.74 = 104.37 : x
  2. Step 2: Convert to fraction form
    212.46/318.74 = 104.37/x
  3. Step 3: Cross multiply
    212.46x = 318.74 × 104.37
  4. Step 4: Simplify right side
    212.46x = 33,266.37
  5. Step 5: Solve for x
    x = 33,266.37/212.46
  6. Step 6: Final answer
    x = 156.58

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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.