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Finding the Fourth Proportional to 277.02, 414.32 and 193.39

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Solution

The fourth proportional to 277.02, 414.32 and 193.39 is: 289.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.02 : 414.32 = 193.39 : x
  2. Step 2: Convert to fraction form
    277.02/414.32 = 193.39/x
  3. Step 3: Cross multiply
    277.02x = 414.32 × 193.39
  4. Step 4: Simplify right side
    277.02x = 80,123.34
  5. Step 5: Solve for x
    x = 80,123.34/277.02
  6. Step 6: Final answer
    x = 289.23

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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.