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Finding the Fourth Proportional to 341.46, 512.10 and 158.69

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Solution

The fourth proportional to 341.46, 512.10 and 158.69 is: 237.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.46 : 512.10 = 158.69 : x
  2. Step 2: Convert to fraction form
    341.46/512.10 = 158.69/x
  3. Step 3: Cross multiply
    341.46x = 512.10 × 158.69
  4. Step 4: Simplify right side
    341.46x = 81,262.59
  5. Step 5: Solve for x
    x = 81,262.59/341.46
  6. Step 6: Final answer
    x = 237.99

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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.