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Finding the Fourth Proportional to 205.22, 281.53 and 200.06

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Solution

The fourth proportional to 205.22, 281.53 and 200.06 is: 274.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    205.22 : 281.53 = 200.06 : x
  2. Step 2: Convert to fraction form
    205.22/281.53 = 200.06/x
  3. Step 3: Cross multiply
    205.22x = 281.53 × 200.06
  4. Step 4: Simplify right side
    205.22x = 56,322.89
  5. Step 5: Solve for x
    x = 56,322.89/205.22
  6. Step 6: Final answer
    x = 274.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.