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Finding the Fourth Proportional to 358.82, 495.14 and 218.98

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Solution

The fourth proportional to 358.82, 495.14 and 218.98 is: 302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.82 : 495.14 = 218.98 : x
  2. Step 2: Convert to fraction form
    358.82/495.14 = 218.98/x
  3. Step 3: Cross multiply
    358.82x = 495.14 × 218.98
  4. Step 4: Simplify right side
    358.82x = 108,423.63
  5. Step 5: Solve for x
    x = 108,423.63/358.82
  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.