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Finding the Fourth Proportional to 213.48, 319.74 and 149.64

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Solution

The fourth proportional to 213.48, 319.74 and 149.64 is: 224.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.48 : 319.74 = 149.64 : x
  2. Step 2: Convert to fraction form
    213.48/319.74 = 149.64/x
  3. Step 3: Cross multiply
    213.48x = 319.74 × 149.64
  4. Step 4: Simplify right side
    213.48x = 47,845.89
  5. Step 5: Solve for x
    x = 47,845.89/213.48
  6. Step 6: Final answer
    x = 224.12

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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.