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Finding the Fourth Proportional to 341.53, 512 and 122.13

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Solution

The fourth proportional to 341.53, 512 and 122.13 is: 183.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.53 : 512 = 122.13 : x
  2. Step 2: Convert to fraction form
    341.53/512 = 122.13/x
  3. Step 3: Cross multiply
    341.53x = 512 × 122.13
  4. Step 4: Simplify right side
    341.53x = 62,530.56
  5. Step 5: Solve for x
    x = 62,530.56/341.53
  6. Step 6: Final answer
    x = 183.09

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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.