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Finding the Fourth Proportional to 341.55, 512.16 and 122.09

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Solution

The fourth proportional to 341.55, 512.16 and 122.09 is: 183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.55 : 512.16 = 122.09 : x
  2. Step 2: Convert to fraction form
    341.55/512.16 = 122.09/x
  3. Step 3: Cross multiply
    341.55x = 512.16 × 122.09
  4. Step 4: Simplify right side
    341.55x = 62,527.05
  5. Step 5: Solve for x
    x = 62,527.05/341.55
  6. Step 6: Final answer
    x = 183.07

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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.