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Finding the Fourth Proportional to 277.83, 383.74 and 240.98

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Solution

The fourth proportional to 277.83, 383.74 and 240.98 is: 332.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.83 : 383.74 = 240.98 : x
  2. Step 2: Convert to fraction form
    277.83/383.74 = 240.98/x
  3. Step 3: Cross multiply
    277.83x = 383.74 × 240.98
  4. Step 4: Simplify right side
    277.83x = 92,471.14
  5. Step 5: Solve for x
    x = 92,471.14/277.83
  6. Step 6: Final answer
    x = 332.83

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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.