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Finding the Fourth Proportional to 342.67, 513.64 and 147.62

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Solution

The fourth proportional to 342.67, 513.64 and 147.62 is: 221.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.67 : 513.64 = 147.62 : x
  2. Step 2: Convert to fraction form
    342.67/513.64 = 147.62/x
  3. Step 3: Cross multiply
    342.67x = 513.64 × 147.62
  4. Step 4: Simplify right side
    342.67x = 75,823.54
  5. Step 5: Solve for x
    x = 75,823.54/342.67
  6. Step 6: Final answer
    x = 221.27

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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.