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Finding the Fourth Proportional to 358.79, 495.17 and 218.93

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Solution

The fourth proportional to 358.79, 495.17 and 218.93 is: 302.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.79 : 495.17 = 218.93 : x
  2. Step 2: Convert to fraction form
    358.79/495.17 = 218.93/x
  3. Step 3: Cross multiply
    358.79x = 495.17 × 218.93
  4. Step 4: Simplify right side
    358.79x = 108,405.64
  5. Step 5: Solve for x
    x = 108,405.64/358.79
  6. Step 6: Final answer
    x = 302.14

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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.