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Finding the Fourth Proportional to 200.41, 300.63 and 56.14

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Solution

The fourth proportional to 200.41, 300.63 and 56.14 is: 84.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 300.63 = 56.14 : x
  2. Step 2: Convert to fraction form
    200.41/300.63 = 56.14/x
  3. Step 3: Cross multiply
    200.41x = 300.63 × 56.14
  4. Step 4: Simplify right side
    200.41x = 16,877.37
  5. Step 5: Solve for x
    x = 16,877.37/200.41
  6. Step 6: Final answer
    x = 84.21

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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.