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Finding the Fourth Proportional to 342, 513.24 and 149.64

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Solution

The fourth proportional to 342, 513.24 and 149.64 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    342 : 513.24 = 149.64 : x
  2. Step 2: Convert to fraction form
    342/513.24 = 149.64/x
  3. Step 3: Cross multiply
    342x = 513.24 × 149.64
  4. Step 4: Simplify right side
    342x = 76,801.23
  5. Step 5: Solve for x
    x = 76,801.23/342
  6. Step 6: Final answer
    x = 224.57

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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.