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Finding the Fourth Proportional to 214.34, 321.64 and 77.38

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Solution

The fourth proportional to 214.34, 321.64 and 77.38 is: 116.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.34 : 321.64 = 77.38 : x
  2. Step 2: Convert to fraction form
    214.34/321.64 = 77.38/x
  3. Step 3: Cross multiply
    214.34x = 321.64 × 77.38
  4. Step 4: Simplify right side
    214.34x = 24,887.51
  5. Step 5: Solve for x
    x = 24,887.51/214.34
  6. Step 6: Final answer
    x = 116.11

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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.