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Finding the Fourth Proportional to 182.94, 274.53 and 97.50

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Solution

The fourth proportional to 182.94, 274.53 and 97.50 is: 146.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.94 : 274.53 = 97.50 : x
  2. Step 2: Convert to fraction form
    182.94/274.53 = 97.50/x
  3. Step 3: Cross multiply
    182.94x = 274.53 × 97.50
  4. Step 4: Simplify right side
    182.94x = 26,766.68
  5. Step 5: Solve for x
    x = 26,766.68/182.94
  6. Step 6: Final answer
    x = 146.31

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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.