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Finding the Fourth Proportional to 182.60, 274.20 and 96.20

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Solution

The fourth proportional to 182.60, 274.20 and 96.20 is: 144.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.60 : 274.20 = 96.20 : x
  2. Step 2: Convert to fraction form
    182.60/274.20 = 96.20/x
  3. Step 3: Cross multiply
    182.60x = 274.20 × 96.20
  4. Step 4: Simplify right side
    182.60x = 26,378.04
  5. Step 5: Solve for x
    x = 26,378.04/182.60
  6. Step 6: Final answer
    x = 144.46

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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.