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Finding the Fourth Proportional to 293.49, 404.84 and 188.55

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Solution

The fourth proportional to 293.49, 404.84 and 188.55 is: 260.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.49 : 404.84 = 188.55 : x
  2. Step 2: Convert to fraction form
    293.49/404.84 = 188.55/x
  3. Step 3: Cross multiply
    293.49x = 404.84 × 188.55
  4. Step 4: Simplify right side
    293.49x = 76,332.58
  5. Step 5: Solve for x
    x = 76,332.58/293.49
  6. Step 6: Final answer
    x = 260.09

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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.