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Finding the Fourth Proportional to 341.80, 512.62 and 110.64

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Solution

The fourth proportional to 341.80, 512.62 and 110.64 is: 165.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.80 : 512.62 = 110.64 : x
  2. Step 2: Convert to fraction form
    341.80/512.62 = 110.64/x
  3. Step 3: Cross multiply
    341.80x = 512.62 × 110.64
  4. Step 4: Simplify right side
    341.80x = 56,716.28
  5. Step 5: Solve for x
    x = 56,716.28/341.80
  6. Step 6: Final answer
    x = 165.93

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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.