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Finding the Fourth Proportional to 183.19, 274.44 and 102.10

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Solution

The fourth proportional to 183.19, 274.44 and 102.10 is: 152.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.19 : 274.44 = 102.10 : x
  2. Step 2: Convert to fraction form
    183.19/274.44 = 102.10/x
  3. Step 3: Cross multiply
    183.19x = 274.44 × 102.10
  4. Step 4: Simplify right side
    183.19x = 28,020.32
  5. Step 5: Solve for x
    x = 28,020.32/183.19
  6. Step 6: Final answer
    x = 152.96

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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.