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Finding the Fourth Proportional to 359.85, 540.09 and 206.10

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Solution

The fourth proportional to 359.85, 540.09 and 206.10 is: 309.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.85 : 540.09 = 206.10 : x
  2. Step 2: Convert to fraction form
    359.85/540.09 = 206.10/x
  3. Step 3: Cross multiply
    359.85x = 540.09 × 206.10
  4. Step 4: Simplify right side
    359.85x = 111,312.55
  5. Step 5: Solve for x
    x = 111,312.55/359.85
  6. Step 6: Final answer
    x = 309.33

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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.