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Finding the Fourth Proportional to 184.85, 277.61 and 177.50

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Solution

The fourth proportional to 184.85, 277.61 and 177.50 is: 266.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.85 : 277.61 = 177.50 : x
  2. Step 2: Convert to fraction form
    184.85/277.61 = 177.50/x
  3. Step 3: Cross multiply
    184.85x = 277.61 × 177.50
  4. Step 4: Simplify right side
    184.85x = 49,273.50
  5. Step 5: Solve for x
    x = 49,273.50/184.85
  6. Step 6: Final answer
    x = 266.57

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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.