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Finding the Fourth Proportional to 200.41, 300.58 and 56.09

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Solution

The fourth proportional to 200.41, 300.58 and 56.09 is: 84.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.41 : 300.58 = 56.09 : x
  2. Step 2: Convert to fraction form
    200.41/300.58 = 56.09/x
  3. Step 3: Cross multiply
    200.41x = 300.58 × 56.09
  4. Step 4: Simplify right side
    200.41x = 16,860.14
  5. Step 5: Solve for x
    x = 16,860.14/200.41
  6. Step 6: Final answer
    x = 84.13

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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.