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Finding the Fourth Proportional to 182.76, 274.16 and 74.64

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Solution

The fourth proportional to 182.76, 274.16 and 74.64 is: 111.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.76 : 274.16 = 74.64 : x
  2. Step 2: Convert to fraction form
    182.76/274.16 = 74.64/x
  3. Step 3: Cross multiply
    182.76x = 274.16 × 74.64
  4. Step 4: Simplify right side
    182.76x = 20,463.30
  5. Step 5: Solve for x
    x = 20,463.30/182.76
  6. Step 6: Final answer
    x = 111.97

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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.