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Finding the Fourth Proportional to 204.17, 305.93 and 188.98

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Solution

The fourth proportional to 204.17, 305.93 and 188.98 is: 283.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.17 : 305.93 = 188.98 : x
  2. Step 2: Convert to fraction form
    204.17/305.93 = 188.98/x
  3. Step 3: Cross multiply
    204.17x = 305.93 × 188.98
  4. Step 4: Simplify right side
    204.17x = 57,814.36
  5. Step 5: Solve for x
    x = 57,814.36/204.17
  6. Step 6: Final answer
    x = 283.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.