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Finding the Fourth Proportional to 239.02, 358 and 181.26

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Solution

The fourth proportional to 239.02, 358 and 181.26 is: 271.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    239.02 : 358 = 181.26 : x
  2. Step 2: Convert to fraction form
    239.02/358 = 181.26/x
  3. Step 3: Cross multiply
    239.02x = 358 × 181.26
  4. Step 4: Simplify right side
    239.02x = 64,891.08
  5. Step 5: Solve for x
    x = 64,891.08/239.02
  6. Step 6: Final answer
    x = 271.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.