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Finding the Fourth Proportional to 341.48, 512.13 and 146.46

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Solution

The fourth proportional to 341.48, 512.13 and 146.46 is: 219.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.48 : 512.13 = 146.46 : x
  2. Step 2: Convert to fraction form
    341.48/512.13 = 146.46/x
  3. Step 3: Cross multiply
    341.48x = 512.13 × 146.46
  4. Step 4: Simplify right side
    341.48x = 75,006.56
  5. Step 5: Solve for x
    x = 75,006.56/341.48
  6. Step 6: Final answer
    x = 219.65

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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.