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Finding the Fourth Proportional to 358.94, 495.06 and 219.08

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Solution

The fourth proportional to 358.94, 495.06 and 219.08 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.94 : 495.06 = 219.08 : x
  2. Step 2: Convert to fraction form
    358.94/495.06 = 219.08/x
  3. Step 3: Cross multiply
    358.94x = 495.06 × 219.08
  4. Step 4: Simplify right side
    358.94x = 108,457.74
  5. Step 5: Solve for x
    x = 108,457.74/358.94
  6. Step 6: Final answer
    x = 302.16

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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.