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Finding the Fourth Proportional to 184.34, 274.93 and 178.27

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Solution

The fourth proportional to 184.34, 274.93 and 178.27 is: 265.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.34 : 274.93 = 178.27 : x
  2. Step 2: Convert to fraction form
    184.34/274.93 = 178.27/x
  3. Step 3: Cross multiply
    184.34x = 274.93 × 178.27
  4. Step 4: Simplify right side
    184.34x = 49,010.64
  5. Step 5: Solve for x
    x = 49,010.64/184.34
  6. Step 6: Final answer
    x = 265.87

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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.