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Finding the Fourth Proportional to 200.24, 301.62 and 188.09

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Solution

The fourth proportional to 200.24, 301.62 and 188.09 is: 283.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.24 : 301.62 = 188.09 : x
  2. Step 2: Convert to fraction form
    200.24/301.62 = 188.09/x
  3. Step 3: Cross multiply
    200.24x = 301.62 × 188.09
  4. Step 4: Simplify right side
    200.24x = 56,730.20
  5. Step 5: Solve for x
    x = 56,730.20/200.24
  6. Step 6: Final answer
    x = 283.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.