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Finding the Fourth Proportional to 214.65, 321.84 and 178.47

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Solution

The fourth proportional to 214.65, 321.84 and 178.47 is: 267.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.65 : 321.84 = 178.47 : x
  2. Step 2: Convert to fraction form
    214.65/321.84 = 178.47/x
  3. Step 3: Cross multiply
    214.65x = 321.84 × 178.47
  4. Step 4: Simplify right side
    214.65x = 57,438.78
  5. Step 5: Solve for x
    x = 57,438.78/214.65
  6. Step 6: Final answer
    x = 267.59

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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.