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Finding the Fourth Proportional to 182.28, 274.80 and 176.61

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Solution

The fourth proportional to 182.28, 274.80 and 176.61 is: 266.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.28 : 274.80 = 176.61 : x
  2. Step 2: Convert to fraction form
    182.28/274.80 = 176.61/x
  3. Step 3: Cross multiply
    182.28x = 274.80 × 176.61
  4. Step 4: Simplify right side
    182.28x = 48,532.43
  5. Step 5: Solve for x
    x = 48,532.43/182.28
  6. Step 6: Final answer
    x = 266.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.