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Finding the Fourth Proportional to 214.78, 322.31 and 123.52

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Solution

The fourth proportional to 214.78, 322.31 and 123.52 is: 185.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.78 : 322.31 = 123.52 : x
  2. Step 2: Convert to fraction form
    214.78/322.31 = 123.52/x
  3. Step 3: Cross multiply
    214.78x = 322.31 × 123.52
  4. Step 4: Simplify right side
    214.78x = 39,811.73
  5. Step 5: Solve for x
    x = 39,811.73/214.78
  6. Step 6: Final answer
    x = 185.36

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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.