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Finding the Fourth Proportional to 359.64, 538.94 and 205.25

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Solution

The fourth proportional to 359.64, 538.94 and 205.25 is: 307.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 538.94 = 205.25 : x
  2. Step 2: Convert to fraction form
    359.64/538.94 = 205.25/x
  3. Step 3: Cross multiply
    359.64x = 538.94 × 205.25
  4. Step 4: Simplify right side
    359.64x = 110,615.25
  5. Step 5: Solve for x
    x = 110,615.25/359.64
  6. Step 6: Final answer
    x = 307.57

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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.