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Finding the Fourth Proportional to 308.42, 425.75 and 184.12

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Solution

The fourth proportional to 308.42, 425.75 and 184.12 is: 254.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.42 : 425.75 = 184.12 : x
  2. Step 2: Convert to fraction form
    308.42/425.75 = 184.12/x
  3. Step 3: Cross multiply
    308.42x = 425.75 × 184.12
  4. Step 4: Simplify right side
    308.42x = 78,389.09
  5. Step 5: Solve for x
    x = 78,389.09/308.42
  6. Step 6: Final answer
    x = 254.16

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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.