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Finding the Fourth Proportional to 214.62, 321.35 and 186.93

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Solution

The fourth proportional to 214.62, 321.35 and 186.93 is: 279.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.62 : 321.35 = 186.93 : x
  2. Step 2: Convert to fraction form
    214.62/321.35 = 186.93/x
  3. Step 3: Cross multiply
    214.62x = 321.35 × 186.93
  4. Step 4: Simplify right side
    214.62x = 60,069.02
  5. Step 5: Solve for x
    x = 60,069.02/214.62
  6. Step 6: Final answer
    x = 279.89

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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.