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Finding the Fourth Proportional to 277.48, 415.99 and 104.05

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Solution

The fourth proportional to 277.48, 415.99 and 104.05 is: 155.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 415.99 = 104.05 : x
  2. Step 2: Convert to fraction form
    277.48/415.99 = 104.05/x
  3. Step 3: Cross multiply
    277.48x = 415.99 × 104.05
  4. Step 4: Simplify right side
    277.48x = 43,283.76
  5. Step 5: Solve for x
    x = 43,283.76/277.48
  6. Step 6: Final answer
    x = 155.99

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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.