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Finding the Fourth Proportional to 182.53, 274.05 and 117.63

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Solution

The fourth proportional to 182.53, 274.05 and 117.63 is: 176.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.53 : 274.05 = 117.63 : x
  2. Step 2: Convert to fraction form
    182.53/274.05 = 117.63/x
  3. Step 3: Cross multiply
    182.53x = 274.05 × 117.63
  4. Step 4: Simplify right side
    182.53x = 32,236.50
  5. Step 5: Solve for x
    x = 32,236.50/182.53
  6. Step 6: Final answer
    x = 176.61

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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.