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Finding the Fourth Proportional to 358.14, 494.16 and 210.78

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Solution

The fourth proportional to 358.14, 494.16 and 210.78 is: 290.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    358.14 : 494.16 = 210.78 : x
  2. Step 2: Convert to fraction form
    358.14/494.16 = 210.78/x
  3. Step 3: Cross multiply
    358.14x = 494.16 × 210.78
  4. Step 4: Simplify right side
    358.14x = 104,159.04
  5. Step 5: Solve for x
    x = 104,159.04/358.14
  6. Step 6: Final answer
    x = 290.83

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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.