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Finding the Fourth Proportional to 238.65, 355.89 and 204.63

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Solution

The fourth proportional to 238.65, 355.89 and 204.63 is: 305.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.65 : 355.89 = 204.63 : x
  2. Step 2: Convert to fraction form
    238.65/355.89 = 204.63/x
  3. Step 3: Cross multiply
    238.65x = 355.89 × 204.63
  4. Step 4: Simplify right side
    238.65x = 72,825.77
  5. Step 5: Solve for x
    x = 72,825.77/238.65
  6. Step 6: Final answer
    x = 305.16

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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.