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Finding the Fourth Proportional to 277.56, 383.04 and 184.14

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Solution

The fourth proportional to 277.56, 383.04 and 184.14 is: 254.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.56 : 383.04 = 184.14 : x
  2. Step 2: Convert to fraction form
    277.56/383.04 = 184.14/x
  3. Step 3: Cross multiply
    277.56x = 383.04 × 184.14
  4. Step 4: Simplify right side
    277.56x = 70,532.99
  5. Step 5: Solve for x
    x = 70,532.99/277.56
  6. Step 6: Final answer
    x = 254.12

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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.