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Finding the Fourth Proportional to 200.22, 276.33 and 117.33

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Solution

The fourth proportional to 200.22, 276.33 and 117.33 is: 161.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.22 : 276.33 = 117.33 : x
  2. Step 2: Convert to fraction form
    200.22/276.33 = 117.33/x
  3. Step 3: Cross multiply
    200.22x = 276.33 × 117.33
  4. Step 4: Simplify right side
    200.22x = 32,421.80
  5. Step 5: Solve for x
    x = 32,421.80/200.22
  6. Step 6: Final answer
    x = 161.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.