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Finding the Fourth Proportional to 359.24, 538.95 and 205.13

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Solution

The fourth proportional to 359.24, 538.95 and 205.13 is: 307.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 538.95 = 205.13 : x
  2. Step 2: Convert to fraction form
    359.24/538.95 = 205.13/x
  3. Step 3: Cross multiply
    359.24x = 538.95 × 205.13
  4. Step 4: Simplify right side
    359.24x = 110,556.93
  5. Step 5: Solve for x
    x = 110,556.93/359.24
  6. Step 6: Final answer
    x = 307.76

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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.