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Finding the Fourth Proportional to 359.40, 538.74 and 205.14

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Solution

The fourth proportional to 359.40, 538.74 and 205.14 is: 307.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.40 : 538.74 = 205.14 : x
  2. Step 2: Convert to fraction form
    359.40/538.74 = 205.14/x
  3. Step 3: Cross multiply
    359.40x = 538.74 × 205.14
  4. Step 4: Simplify right side
    359.40x = 110,517.12
  5. Step 5: Solve for x
    x = 110,517.12/359.40
  6. Step 6: Final answer
    x = 307.50

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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.