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Finding the Fourth Proportional to 294.09, 405.47 and 189

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Solution

The fourth proportional to 294.09, 405.47 and 189 is: 260.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.09 : 405.47 = 189 : x
  2. Step 2: Convert to fraction form
    294.09/405.47 = 189/x
  3. Step 3: Cross multiply
    294.09x = 405.47 × 189
  4. Step 4: Simplify right side
    294.09x = 76,632.89
  5. Step 5: Solve for x
    x = 76,632.89/294.09
  6. Step 6: Final answer
    x = 260.58

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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.