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Finding the Fourth Proportional to 308.16, 425.16 and 230.40

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Solution

The fourth proportional to 308.16, 425.16 and 230.40 is: 317.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.16 : 425.16 = 230.40 : x
  2. Step 2: Convert to fraction form
    308.16/425.16 = 230.40/x
  3. Step 3: Cross multiply
    308.16x = 425.16 × 230.40
  4. Step 4: Simplify right side
    308.16x = 97,956.86
  5. Step 5: Solve for x
    x = 97,956.86/308.16
  6. Step 6: Final answer
    x = 317.88

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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.