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Finding the Fourth Proportional to 183.04, 274.74 and 135.10

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Solution

The fourth proportional to 183.04, 274.74 and 135.10 is: 202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.04 : 274.74 = 135.10 : x
  2. Step 2: Convert to fraction form
    183.04/274.74 = 135.10/x
  3. Step 3: Cross multiply
    183.04x = 274.74 × 135.10
  4. Step 4: Simplify right side
    183.04x = 37,117.37
  5. Step 5: Solve for x
    x = 37,117.37/183.04
  6. Step 6: Final answer
    x = 202.78

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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.