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Finding the Fourth Proportional to 295.39, 407.82 and 185.02

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Solution

The fourth proportional to 295.39, 407.82 and 185.02 is: 255.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.39 : 407.82 = 185.02 : x
  2. Step 2: Convert to fraction form
    295.39/407.82 = 185.02/x
  3. Step 3: Cross multiply
    295.39x = 407.82 × 185.02
  4. Step 4: Simplify right side
    295.39x = 75,451.89
  5. Step 5: Solve for x
    x = 75,451.89/295.39
  6. Step 6: Final answer
    x = 255.43

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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.