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Finding the Fourth Proportional to 341.76, 512.29 and 136.27

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Solution

The fourth proportional to 341.76, 512.29 and 136.27 is: 204.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.76 : 512.29 = 136.27 : x
  2. Step 2: Convert to fraction form
    341.76/512.29 = 136.27/x
  3. Step 3: Cross multiply
    341.76x = 512.29 × 136.27
  4. Step 4: Simplify right side
    341.76x = 69,809.76
  5. Step 5: Solve for x
    x = 69,809.76/341.76
  6. Step 6: Final answer
    x = 204.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.