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Finding the Fourth Proportional to 184.41, 274.97 and 177.26

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Solution

The fourth proportional to 184.41, 274.97 and 177.26 is: 264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.41 : 274.97 = 177.26 : x
  2. Step 2: Convert to fraction form
    184.41/274.97 = 177.26/x
  3. Step 3: Cross multiply
    184.41x = 274.97 × 177.26
  4. Step 4: Simplify right side
    184.41x = 48,740.25
  5. Step 5: Solve for x
    x = 48,740.25/184.41
  6. Step 6: Final answer
    x = 264.30

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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.