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Finding the Fourth Proportional to 358.80, 495.20 and 219.06

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Solution

The fourth proportional to 358.80, 495.20 and 219.06 is: 302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.80 : 495.20 = 219.06 : x
  2. Step 2: Convert to fraction form
    358.80/495.20 = 219.06/x
  3. Step 3: Cross multiply
    358.80x = 495.20 × 219.06
  4. Step 4: Simplify right side
    358.80x = 108,478.51
  5. Step 5: Solve for x
    x = 108,478.51/358.80
  6. Step 6: Final answer
    x = 302.34

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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.