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Finding the Fourth Proportional to 358, 494.08 and 200.65

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Solution

The fourth proportional to 358, 494.08 and 200.65 is: 276.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    358 : 494.08 = 200.65 : x
  2. Step 2: Convert to fraction form
    358/494.08 = 200.65/x
  3. Step 3: Cross multiply
    358x = 494.08 × 200.65
  4. Step 4: Simplify right side
    358x = 99,133.68
  5. Step 5: Solve for x
    x = 99,133.68/358
  6. Step 6: Final answer
    x = 276.91

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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.