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Finding the Fourth Proportional to 295.45, 407.63 and 184.97

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Solution

The fourth proportional to 295.45, 407.63 and 184.97 is: 255.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.45 : 407.63 = 184.97 : x
  2. Step 2: Convert to fraction form
    295.45/407.63 = 184.97/x
  3. Step 3: Cross multiply
    295.45x = 407.63 × 184.97
  4. Step 4: Simplify right side
    295.45x = 75,398.40
  5. Step 5: Solve for x
    x = 75,398.40/295.45
  6. Step 6: Final answer
    x = 255.20

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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.