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Finding the Fourth Proportional to 239.05, 358.36 and 123.22

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Solution

The fourth proportional to 239.05, 358.36 and 123.22 is: 184.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.05 : 358.36 = 123.22 : x
  2. Step 2: Convert to fraction form
    239.05/358.36 = 123.22/x
  3. Step 3: Cross multiply
    239.05x = 358.36 × 123.22
  4. Step 4: Simplify right side
    239.05x = 44,157.26
  5. Step 5: Solve for x
    x = 44,157.26/239.05
  6. Step 6: Final answer
    x = 184.72

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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.