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Finding the Fourth Proportional to 295.28, 407.19 and 190.40

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Solution

The fourth proportional to 295.28, 407.19 and 190.40 is: 262.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.28 : 407.19 = 190.40 : x
  2. Step 2: Convert to fraction form
    295.28/407.19 = 190.40/x
  3. Step 3: Cross multiply
    295.28x = 407.19 × 190.40
  4. Step 4: Simplify right side
    295.28x = 77,527.65
  5. Step 5: Solve for x
    x = 77,527.65/295.28
  6. Step 6: Final answer
    x = 262.56

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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.