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Finding the Fourth Proportional to 277.63, 415.96 and 200.22

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Solution

The fourth proportional to 277.63, 415.96 and 200.22 is: 299.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.63 : 415.96 = 200.22 : x
  2. Step 2: Convert to fraction form
    277.63/415.96 = 200.22/x
  3. Step 3: Cross multiply
    277.63x = 415.96 × 200.22
  4. Step 4: Simplify right side
    277.63x = 83,283.51
  5. Step 5: Solve for x
    x = 83,283.51/277.63
  6. Step 6: Final answer
    x = 299.98

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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.