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Finding the Fourth Proportional to 341.74, 512.68 and 146.74

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Solution

The fourth proportional to 341.74, 512.68 and 146.74 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.74 : 512.68 = 146.74 : x
  2. Step 2: Convert to fraction form
    341.74/512.68 = 146.74/x
  3. Step 3: Cross multiply
    341.74x = 512.68 × 146.74
  4. Step 4: Simplify right side
    341.74x = 75,230.66
  5. Step 5: Solve for x
    x = 75,230.66/341.74
  6. Step 6: Final answer
    x = 220.14

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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.