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Finding the Fourth Proportional to 341.87, 512.78 and 110.77

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Solution

The fourth proportional to 341.87, 512.78 and 110.77 is: 166.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.87 : 512.78 = 110.77 : x
  2. Step 2: Convert to fraction form
    341.87/512.78 = 110.77/x
  3. Step 3: Cross multiply
    341.87x = 512.78 × 110.77
  4. Step 4: Simplify right side
    341.87x = 56,799.43
  5. Step 5: Solve for x
    x = 56,799.43/341.87
  6. Step 6: Final answer
    x = 166.14

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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.