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Finding the Fourth Proportional to 245.64, 368.06 and 199.80

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Solution

The fourth proportional to 245.64, 368.06 and 199.80 is: 299.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.64 : 368.06 = 199.80 : x
  2. Step 2: Convert to fraction form
    245.64/368.06 = 199.80/x
  3. Step 3: Cross multiply
    245.64x = 368.06 × 199.80
  4. Step 4: Simplify right side
    245.64x = 73,538.39
  5. Step 5: Solve for x
    x = 73,538.39/245.64
  6. Step 6: Final answer
    x = 299.37

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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.