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Finding the Fourth Proportional to 277.10, 414.77 and 154.99

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Solution

The fourth proportional to 277.10, 414.77 and 154.99 is: 231.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.10 : 414.77 = 154.99 : x
  2. Step 2: Convert to fraction form
    277.10/414.77 = 154.99/x
  3. Step 3: Cross multiply
    277.10x = 414.77 × 154.99
  4. Step 4: Simplify right side
    277.10x = 64,284.43
  5. Step 5: Solve for x
    x = 64,284.43/277.10
  6. Step 6: Final answer
    x = 231.99

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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.