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Finding the Fourth Proportional to 293.62, 404.90 and 188.54

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Solution

The fourth proportional to 293.62, 404.90 and 188.54 is: 260.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.62 : 404.90 = 188.54 : x
  2. Step 2: Convert to fraction form
    293.62/404.90 = 188.54/x
  3. Step 3: Cross multiply
    293.62x = 404.90 × 188.54
  4. Step 4: Simplify right side
    293.62x = 76,339.85
  5. Step 5: Solve for x
    x = 76,339.85/293.62
  6. Step 6: Final answer
    x = 260.00

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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.