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Finding the Fourth Proportional to 238.97, 358.56 and 130.64

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Solution

The fourth proportional to 238.97, 358.56 and 130.64 is: 196.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.97 : 358.56 = 130.64 : x
  2. Step 2: Convert to fraction form
    238.97/358.56 = 130.64/x
  3. Step 3: Cross multiply
    238.97x = 358.56 × 130.64
  4. Step 4: Simplify right side
    238.97x = 46,841.65
  5. Step 5: Solve for x
    x = 46,841.65/238.97
  6. Step 6: Final answer
    x = 196.01

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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.