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Finding the Fourth Proportional to 214.88, 321.93 and 192.06

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Solution

The fourth proportional to 214.88, 321.93 and 192.06 is: 287.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.88 : 321.93 = 192.06 : x
  2. Step 2: Convert to fraction form
    214.88/321.93 = 192.06/x
  3. Step 3: Cross multiply
    214.88x = 321.93 × 192.06
  4. Step 4: Simplify right side
    214.88x = 61,829.88
  5. Step 5: Solve for x
    x = 61,829.88/214.88
  6. Step 6: Final answer
    x = 287.75

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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.