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Finding the Fourth Proportional to 364.00, 545.11 and 190.81

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Solution

The fourth proportional to 364.00, 545.11 and 190.81 is: 285.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.00 : 545.11 = 190.81 : x
  2. Step 2: Convert to fraction form
    364.00/545.11 = 190.81/x
  3. Step 3: Cross multiply
    364.00x = 545.11 × 190.81
  4. Step 4: Simplify right side
    364.00x = 104,015.25
  5. Step 5: Solve for x
    x = 104,015.25/364.00
  6. Step 6: Final answer
    x = 285.75

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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.