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Finding the Fourth Proportional to 245.80, 368.84 and 91.83

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Solution

The fourth proportional to 245.80, 368.84 and 91.83 is: 137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.80 : 368.84 = 91.83 : x
  2. Step 2: Convert to fraction form
    245.80/368.84 = 91.83/x
  3. Step 3: Cross multiply
    245.80x = 368.84 × 91.83
  4. Step 4: Simplify right side
    245.80x = 33,872.36
  5. Step 5: Solve for x
    x = 33,872.36/245.80
  6. Step 6: Final answer
    x = 137.80

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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.