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Finding the Fourth Proportional to 277.60, 383.07 and 161.14

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Solution

The fourth proportional to 277.60, 383.07 and 161.14 is: 222.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.60 : 383.07 = 161.14 : x
  2. Step 2: Convert to fraction form
    277.60/383.07 = 161.14/x
  3. Step 3: Cross multiply
    277.60x = 383.07 × 161.14
  4. Step 4: Simplify right side
    277.60x = 61,727.90
  5. Step 5: Solve for x
    x = 61,727.90/277.60
  6. Step 6: Final answer
    x = 222.36

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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.