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Finding the Fourth Proportional to 295.02, 407.20 and 195.46

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Solution

The fourth proportional to 295.02, 407.20 and 195.46 is: 269.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.02 : 407.20 = 195.46 : x
  2. Step 2: Convert to fraction form
    295.02/407.20 = 195.46/x
  3. Step 3: Cross multiply
    295.02x = 407.20 × 195.46
  4. Step 4: Simplify right side
    295.02x = 79,589.81
  5. Step 5: Solve for x
    x = 79,589.81/295.02
  6. Step 6: Final answer
    x = 269.78

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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.