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Finding the Fourth Proportional to 277.70, 416.68 and 191.16

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Solution

The fourth proportional to 277.70, 416.68 and 191.16 is: 286.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.70 : 416.68 = 191.16 : x
  2. Step 2: Convert to fraction form
    277.70/416.68 = 191.16/x
  3. Step 3: Cross multiply
    277.70x = 416.68 × 191.16
  4. Step 4: Simplify right side
    277.70x = 79,652.07
  5. Step 5: Solve for x
    x = 79,652.07/277.70
  6. Step 6: Final answer
    x = 286.83

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Why These Related Problems?

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