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Finding the Fourth Proportional to 257.89, 386.80 and 214.83

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Solution

The fourth proportional to 257.89, 386.80 and 214.83 is: 322.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.89 : 386.80 = 214.83 : x
  2. Step 2: Convert to fraction form
    257.89/386.80 = 214.83/x
  3. Step 3: Cross multiply
    257.89x = 386.80 × 214.83
  4. Step 4: Simplify right side
    257.89x = 83,096.24
  5. Step 5: Solve for x
    x = 83,096.24/257.89
  6. Step 6: Final answer
    x = 322.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.