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Finding the Fourth Proportional to 277.06, 414.85 and 146.79

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Solution

The fourth proportional to 277.06, 414.85 and 146.79 is: 219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.06 : 414.85 = 146.79 : x
  2. Step 2: Convert to fraction form
    277.06/414.85 = 146.79/x
  3. Step 3: Cross multiply
    277.06x = 414.85 × 146.79
  4. Step 4: Simplify right side
    277.06x = 60,895.10
  5. Step 5: Solve for x
    x = 60,895.10/277.06
  6. Step 6: Final answer
    x = 219.79

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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.