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Finding the Fourth Proportional to 182.84, 274.20 and 114.80

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Solution

The fourth proportional to 182.84, 274.20 and 114.80 is: 172.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.84 : 274.20 = 114.80 : x
  2. Step 2: Convert to fraction form
    182.84/274.20 = 114.80/x
  3. Step 3: Cross multiply
    182.84x = 274.20 × 114.80
  4. Step 4: Simplify right side
    182.84x = 31,478.16
  5. Step 5: Solve for x
    x = 31,478.16/182.84
  6. Step 6: Final answer
    x = 172.16

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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.