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Finding the Fourth Proportional to 359.50, 538.27 and 205.21

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Solution

The fourth proportional to 359.50, 538.27 and 205.21 is: 307.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.50 : 538.27 = 205.21 : x
  2. Step 2: Convert to fraction form
    359.50/538.27 = 205.21/x
  3. Step 3: Cross multiply
    359.50x = 538.27 × 205.21
  4. Step 4: Simplify right side
    359.50x = 110,458.39
  5. Step 5: Solve for x
    x = 110,458.39/359.50
  6. Step 6: Final answer
    x = 307.26

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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.