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Finding the Fourth Proportional to 277.98, 416.42 and 147.80

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Solution

The fourth proportional to 277.98, 416.42 and 147.80 is: 221.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.98 : 416.42 = 147.80 : x
  2. Step 2: Convert to fraction form
    277.98/416.42 = 147.80/x
  3. Step 3: Cross multiply
    277.98x = 416.42 × 147.80
  4. Step 4: Simplify right side
    277.98x = 61,544.05
  5. Step 5: Solve for x
    x = 61,544.05/277.98
  6. Step 6: Final answer
    x = 221.40

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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.