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Finding the Fourth Proportional to 277.66, 416.71 and 195.21

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Solution

The fourth proportional to 277.66, 416.71 and 195.21 is: 292.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.66 : 416.71 = 195.21 : x
  2. Step 2: Convert to fraction form
    277.66/416.71 = 195.21/x
  3. Step 3: Cross multiply
    277.66x = 416.71 × 195.21
  4. Step 4: Simplify right side
    277.66x = 81,346.20
  5. Step 5: Solve for x
    x = 81,346.20/277.66
  6. Step 6: Final answer
    x = 292.97

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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.