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Finding the Fourth Proportional to 182.79, 274.19 and 96.30

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Solution

The fourth proportional to 182.79, 274.19 and 96.30 is: 144.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.79 : 274.19 = 96.30 : x
  2. Step 2: Convert to fraction form
    182.79/274.19 = 96.30/x
  3. Step 3: Cross multiply
    182.79x = 274.19 × 96.30
  4. Step 4: Simplify right side
    182.79x = 26,404.02
  5. Step 5: Solve for x
    x = 26,404.02/182.79
  6. Step 6: Final answer
    x = 144.45

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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.