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Finding the Fourth Proportional to 295.54, 407.84 and 184.96

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Solution

The fourth proportional to 295.54, 407.84 and 184.96 is: 255.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    295.54 : 407.84 = 184.96 : x
  2. Step 2: Convert to fraction form
    295.54/407.84 = 184.96/x
  3. Step 3: Cross multiply
    295.54x = 407.84 × 184.96
  4. Step 4: Simplify right side
    295.54x = 75,434.09
  5. Step 5: Solve for x
    x = 75,434.09/295.54
  6. Step 6: Final answer
    x = 255.24

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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.