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Finding the Fourth Proportional to 183.13, 274.70 and 102.04

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Solution

The fourth proportional to 183.13, 274.70 and 102.04 is: 153.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.13 : 274.70 = 102.04 : x
  2. Step 2: Convert to fraction form
    183.13/274.70 = 102.04/x
  3. Step 3: Cross multiply
    183.13x = 274.70 × 102.04
  4. Step 4: Simplify right side
    183.13x = 28,029.96
  5. Step 5: Solve for x
    x = 28,029.96/183.13
  6. Step 6: Final answer
    x = 153.06

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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.