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Finding the Fourth Proportional to 231.66, 345.80 and 214.74

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Solution

The fourth proportional to 231.66, 345.80 and 214.74 is: 320.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    231.66 : 345.80 = 214.74 : x
  2. Step 2: Convert to fraction form
    231.66/345.80 = 214.74/x
  3. Step 3: Cross multiply
    231.66x = 345.80 × 214.74
  4. Step 4: Simplify right side
    231.66x = 74,257.09
  5. Step 5: Solve for x
    x = 74,257.09/231.66
  6. Step 6: Final answer
    x = 320.54

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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.