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Finding the Fourth Proportional to 341.55, 512.42 and 110.43

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Solution

The fourth proportional to 341.55, 512.42 and 110.43 is: 165.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.55 : 512.42 = 110.43 : x
  2. Step 2: Convert to fraction form
    341.55/512.42 = 110.43/x
  3. Step 3: Cross multiply
    341.55x = 512.42 × 110.43
  4. Step 4: Simplify right side
    341.55x = 56,585.99
  5. Step 5: Solve for x
    x = 56,585.99/341.55
  6. Step 6: Final answer
    x = 165.67

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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.