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Finding the Fourth Proportional to 341.67, 512.14 and 146.62

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Solution

The fourth proportional to 341.67, 512.14 and 146.62 is: 219.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.67 : 512.14 = 146.62 : x
  2. Step 2: Convert to fraction form
    341.67/512.14 = 146.62/x
  3. Step 3: Cross multiply
    341.67x = 512.14 × 146.62
  4. Step 4: Simplify right side
    341.67x = 75,089.97
  5. Step 5: Solve for x
    x = 75,089.97/341.67
  6. Step 6: Final answer
    x = 219.77

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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.