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Finding the Fourth Proportional to 200.86, 301.11 and 152.98

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Solution

The fourth proportional to 200.86, 301.11 and 152.98 is: 229.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.86 : 301.11 = 152.98 : x
  2. Step 2: Convert to fraction form
    200.86/301.11 = 152.98/x
  3. Step 3: Cross multiply
    200.86x = 301.11 × 152.98
  4. Step 4: Simplify right side
    200.86x = 46,063.81
  5. Step 5: Solve for x
    x = 46,063.81/200.86
  6. Step 6: Final answer
    x = 229.33

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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.