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Finding the Fourth Proportional to 277.94, 383.61 and 161.50

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Solution

The fourth proportional to 277.94, 383.61 and 161.50 is: 222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.94 : 383.61 = 161.50 : x
  2. Step 2: Convert to fraction form
    277.94/383.61 = 161.50/x
  3. Step 3: Cross multiply
    277.94x = 383.61 × 161.50
  4. Step 4: Simplify right side
    277.94x = 61,953.02
  5. Step 5: Solve for x
    x = 61,953.02/277.94
  6. Step 6: Final answer
    x = 222.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.