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Finding the Fourth Proportional to 308.42, 425.40 and 230.12

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Solution

The fourth proportional to 308.42, 425.40 and 230.12 is: 317.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.42 : 425.40 = 230.12 : x
  2. Step 2: Convert to fraction form
    308.42/425.40 = 230.12/x
  3. Step 3: Cross multiply
    308.42x = 425.40 × 230.12
  4. Step 4: Simplify right side
    308.42x = 97,893.05
  5. Step 5: Solve for x
    x = 97,893.05/308.42
  6. Step 6: Final answer
    x = 317.40

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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.