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Finding the Fourth Proportional to 231.39, 345.09 and 210.74

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Solution

The fourth proportional to 231.39, 345.09 and 210.74 is: 314.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.39 : 345.09 = 210.74 : x
  2. Step 2: Convert to fraction form
    231.39/345.09 = 210.74/x
  3. Step 3: Cross multiply
    231.39x = 345.09 × 210.74
  4. Step 4: Simplify right side
    231.39x = 72,722.54
  5. Step 5: Solve for x
    x = 72,722.54/231.39
  6. Step 6: Final answer
    x = 314.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.