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Finding the Fourth Proportional to 184.05, 274.25 and 177.08

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Solution

The fourth proportional to 184.05, 274.25 and 177.08 is: 263.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.05 : 274.25 = 177.08 : x
  2. Step 2: Convert to fraction form
    184.05/274.25 = 177.08/x
  3. Step 3: Cross multiply
    184.05x = 274.25 × 177.08
  4. Step 4: Simplify right side
    184.05x = 48,561.93
  5. Step 5: Solve for x
    x = 48,561.93/184.05
  6. Step 6: Final answer
    x = 263.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.