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Finding the Fourth Proportional to 359.82, 540.14 and 238.05

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Solution

The fourth proportional to 359.82, 540.14 and 238.05 is: 357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.82 : 540.14 = 238.05 : x
  2. Step 2: Convert to fraction form
    359.82/540.14 = 238.05/x
  3. Step 3: Cross multiply
    359.82x = 540.14 × 238.05
  4. Step 4: Simplify right side
    359.82x = 128,579.14
  5. Step 5: Solve for x
    x = 128,579.14/359.82
  6. Step 6: Final answer
    x = 357.34

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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.