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Finding the Fourth Proportional to 182.04, 274.07 and 134.34

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Solution

The fourth proportional to 182.04, 274.07 and 134.34 is: 202.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    182.04 : 274.07 = 134.34 : x
  2. Step 2: Convert to fraction form
    182.04/274.07 = 134.34/x
  3. Step 3: Cross multiply
    182.04x = 274.07 × 134.34
  4. Step 4: Simplify right side
    182.04x = 36,817.89
  5. Step 5: Solve for x
    x = 36,817.89/182.04
  6. Step 6: Final answer
    x = 202.25

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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.