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Finding the Fourth Proportional to 184.74, 277.50 and 177.72

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Solution

The fourth proportional to 184.74, 277.50 and 177.72 is: 266.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    184.74 : 277.50 = 177.72 : x
  2. Step 2: Convert to fraction form
    184.74/277.50 = 177.72/x
  3. Step 3: Cross multiply
    184.74x = 277.50 × 177.72
  4. Step 4: Simplify right side
    184.74x = 49,317.30
  5. Step 5: Solve for x
    x = 49,317.30/184.74
  6. Step 6: Final answer
    x = 266.96

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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.