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Finding the Fourth Proportional to 274.00, 411.00 and 111.64

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Solution

The fourth proportional to 274.00, 411.00 and 111.64 is: 167.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    274.00 : 411.00 = 111.64 : x
  2. Step 2: Convert to fraction form
    274.00/411.00 = 111.64/x
  3. Step 3: Cross multiply
    274.00x = 411.00 × 111.64
  4. Step 4: Simplify right side
    274.00x = 45,881.43
  5. Step 5: Solve for x
    x = 45,881.43/274.00
  6. Step 6: Final answer
    x = 167.45

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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.