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Finding the Fourth Proportional to 277.48, 383.06 and 194.76

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Solution

The fourth proportional to 277.48, 383.06 and 194.76 is: 268.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.48 : 383.06 = 194.76 : x
  2. Step 2: Convert to fraction form
    277.48/383.06 = 194.76/x
  3. Step 3: Cross multiply
    277.48x = 383.06 × 194.76
  4. Step 4: Simplify right side
    277.48x = 74,604.77
  5. Step 5: Solve for x
    x = 74,604.77/277.48
  6. Step 6: Final answer
    x = 268.87

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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.