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Finding the Fourth Proportional to 182.84, 274.32 and 74.68

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Solution

The fourth proportional to 182.84, 274.32 and 74.68 is: 112.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 274.32 = 74.68 : x
  2. Step 2: Convert to fraction form
    182.84/274.32 = 74.68/x
  3. Step 3: Cross multiply
    182.84x = 274.32 × 74.68
  4. Step 4: Simplify right side
    182.84x = 20,486.22
  5. Step 5: Solve for x
    x = 20,486.22/182.84
  6. Step 6: Final answer
    x = 112.04

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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.