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Finding the Fourth Proportional to 341.93, 512.74 and 159.38

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Solution

The fourth proportional to 341.93, 512.74 and 159.38 is: 238.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.93 : 512.74 = 159.38 : x
  2. Step 2: Convert to fraction form
    341.93/512.74 = 159.38/x
  3. Step 3: Cross multiply
    341.93x = 512.74 × 159.38
  4. Step 4: Simplify right side
    341.93x = 81,717.54
  5. Step 5: Solve for x
    x = 81,717.54/341.93
  6. Step 6: Final answer
    x = 238.99

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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.