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Finding the Fourth Proportional to 203.88, 307.47 and 188.90

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Solution

The fourth proportional to 203.88, 307.47 and 188.90 is: 284.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    203.88 : 307.47 = 188.90 : x
  2. Step 2: Convert to fraction form
    203.88/307.47 = 188.90/x
  3. Step 3: Cross multiply
    203.88x = 307.47 × 188.90
  4. Step 4: Simplify right side
    203.88x = 58,081.08
  5. Step 5: Solve for x
    x = 58,081.08/203.88
  6. Step 6: Final answer
    x = 284.88

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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.