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Finding the Fourth Proportional to 238.45, 358.01 and 135.94

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Solution

The fourth proportional to 238.45, 358.01 and 135.94 is: 204.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.45 : 358.01 = 135.94 : x
  2. Step 2: Convert to fraction form
    238.45/358.01 = 135.94/x
  3. Step 3: Cross multiply
    238.45x = 358.01 × 135.94
  4. Step 4: Simplify right side
    238.45x = 48,667.32
  5. Step 5: Solve for x
    x = 48,667.32/238.45
  6. Step 6: Final answer
    x = 204.10

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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.