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Finding the Fourth Proportional to 277.40, 415.53 and 200.18

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Solution

The fourth proportional to 277.40, 415.53 and 200.18 is: 299.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.40 : 415.53 = 200.18 : x
  2. Step 2: Convert to fraction form
    277.40/415.53 = 200.18/x
  3. Step 3: Cross multiply
    277.40x = 415.53 × 200.18
  4. Step 4: Simplify right side
    277.40x = 83,178.72
  5. Step 5: Solve for x
    x = 83,178.72/277.40
  6. Step 6: Final answer
    x = 299.86

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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.