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Finding the Fourth Proportional to 277.13, 415.85 and 123.03

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Solution

The fourth proportional to 277.13, 415.85 and 123.03 is: 184.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.13 : 415.85 = 123.03 : x
  2. Step 2: Convert to fraction form
    277.13/415.85 = 123.03/x
  3. Step 3: Cross multiply
    277.13x = 415.85 × 123.03
  4. Step 4: Simplify right side
    277.13x = 51,161.41
  5. Step 5: Solve for x
    x = 51,161.41/277.13
  6. Step 6: Final answer
    x = 184.61

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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.