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Finding the Fourth Proportional to 204.14, 304.99 and 158.38

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Solution

The fourth proportional to 204.14, 304.99 and 158.38 is: 236.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    204.14 : 304.99 = 158.38 : x
  2. Step 2: Convert to fraction form
    204.14/304.99 = 158.38/x
  3. Step 3: Cross multiply
    204.14x = 304.99 × 158.38
  4. Step 4: Simplify right side
    204.14x = 48,303.16
  5. Step 5: Solve for x
    x = 48,303.16/204.14
  6. Step 6: Final answer
    x = 236.61

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.