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Finding the Fourth Proportional to 341.32, 512.04 and 158.92

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Solution

The fourth proportional to 341.32, 512.04 and 158.92 is: 238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.32 : 512.04 = 158.92 : x
  2. Step 2: Convert to fraction form
    341.32/512.04 = 158.92/x
  3. Step 3: Cross multiply
    341.32x = 512.04 × 158.92
  4. Step 4: Simplify right side
    341.32x = 81,373.40
  5. Step 5: Solve for x
    x = 81,373.40/341.32
  6. Step 6: Final answer
    x = 238.41

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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.