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Finding the Fourth Proportional to 245.67, 368.22 and 200.10

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Solution

The fourth proportional to 245.67, 368.22 and 200.10 is: 299.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    245.67 : 368.22 = 200.10 : x
  2. Step 2: Convert to fraction form
    245.67/368.22 = 200.10/x
  3. Step 3: Cross multiply
    245.67x = 368.22 × 200.10
  4. Step 4: Simplify right side
    245.67x = 73,680.82
  5. Step 5: Solve for x
    x = 73,680.82/245.67
  6. Step 6: Final answer
    x = 299.92

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.