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Finding the Fourth Proportional to 183.47, 274.85 and 90.81

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Solution

The fourth proportional to 183.47, 274.85 and 90.81 is: 136.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    183.47 : 274.85 = 90.81 : x
  2. Step 2: Convert to fraction form
    183.47/274.85 = 90.81/x
  3. Step 3: Cross multiply
    183.47x = 274.85 × 90.81
  4. Step 4: Simplify right side
    183.47x = 24,959.36
  5. Step 5: Solve for x
    x = 24,959.36/183.47
  6. Step 6: Final answer
    x = 136.04

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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.