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Finding the Fourth Proportional to 200.36, 276.62 and 145.05

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Solution

The fourth proportional to 200.36, 276.62 and 145.05 is: 200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.36 : 276.62 = 145.05 : x
  2. Step 2: Convert to fraction form
    200.36/276.62 = 145.05/x
  3. Step 3: Cross multiply
    200.36x = 276.62 × 145.05
  4. Step 4: Simplify right side
    200.36x = 40,123.01
  5. Step 5: Solve for x
    x = 40,123.01/200.36
  6. Step 6: Final answer
    x = 200.26

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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.