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Finding the Fourth Proportional to 308.98, 426.47 and 210.87

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Solution

The fourth proportional to 308.98, 426.47 and 210.87 is: 291.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    308.98 : 426.47 = 210.87 : x
  2. Step 2: Convert to fraction form
    308.98/426.47 = 210.87/x
  3. Step 3: Cross multiply
    308.98x = 426.47 × 210.87
  4. Step 4: Simplify right side
    308.98x = 89,928.67
  5. Step 5: Solve for x
    x = 89,928.67/308.98
  6. Step 6: Final answer
    x = 291.05

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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.