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Finding the Fourth Proportional to 341.73, 512.52 and 122.40

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Solution

The fourth proportional to 341.73, 512.52 and 122.40 is: 183.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.73 : 512.52 = 122.40 : x
  2. Step 2: Convert to fraction form
    341.73/512.52 = 122.40/x
  3. Step 3: Cross multiply
    341.73x = 512.52 × 122.40
  4. Step 4: Simplify right side
    341.73x = 62,732.45
  5. Step 5: Solve for x
    x = 62,732.45/341.73
  6. Step 6: Final answer
    x = 183.57

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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.