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Finding the Fourth Proportional to 358.15, 494.13 and 218.32

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Solution

The fourth proportional to 358.15, 494.13 and 218.32 is: 301.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.15 : 494.13 = 218.32 : x
  2. Step 2: Convert to fraction form
    358.15/494.13 = 218.32/x
  3. Step 3: Cross multiply
    358.15x = 494.13 × 218.32
  4. Step 4: Simplify right side
    358.15x = 107,878.26
  5. Step 5: Solve for x
    x = 107,878.26/358.15
  6. Step 6: Final answer
    x = 301.21

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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.