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Finding the Fourth Proportional to 277.24, 415.86 and 123.12

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Solution

The fourth proportional to 277.24, 415.86 and 123.12 is: 184.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.24 : 415.86 = 123.12 : x
  2. Step 2: Convert to fraction form
    277.24/415.86 = 123.12/x
  3. Step 3: Cross multiply
    277.24x = 415.86 × 123.12
  4. Step 4: Simplify right side
    277.24x = 51,200.68
  5. Step 5: Solve for x
    x = 51,200.68/277.24
  6. Step 6: Final answer
    x = 184.68

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.