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Finding the Fourth Proportional to 295.37, 407.47 and 190.41

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Solution

The fourth proportional to 295.37, 407.47 and 190.41 is: 262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.37 : 407.47 = 190.41 : x
  2. Step 2: Convert to fraction form
    295.37/407.47 = 190.41/x
  3. Step 3: Cross multiply
    295.37x = 407.47 × 190.41
  4. Step 4: Simplify right side
    295.37x = 77,586.36
  5. Step 5: Solve for x
    x = 77,586.36/295.37
  6. Step 6: Final answer
    x = 262.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.