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Finding the Fourth Proportional to 359.10, 495.18 and 219.24

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Solution

The fourth proportional to 359.10, 495.18 and 219.24 is: 302.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.10 : 495.18 = 219.24 : x
  2. Step 2: Convert to fraction form
    359.10/495.18 = 219.24/x
  3. Step 3: Cross multiply
    359.10x = 495.18 × 219.24
  4. Step 4: Simplify right side
    359.10x = 108,563.26
  5. Step 5: Solve for x
    x = 108,563.26/359.10
  6. Step 6: Final answer
    x = 302.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.