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Finding the Fourth Proportional to 277.85, 383.48 and 184.59

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Solution

The fourth proportional to 277.85, 383.48 and 184.59 is: 254.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.85 : 383.48 = 184.59 : x
  2. Step 2: Convert to fraction form
    277.85/383.48 = 184.59/x
  3. Step 3: Cross multiply
    277.85x = 383.48 × 184.59
  4. Step 4: Simplify right side
    277.85x = 70,786.57
  5. Step 5: Solve for x
    x = 70,786.57/277.85
  6. Step 6: Final answer
    x = 254.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.