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Finding the Fourth Proportional to 214.00, 320.96 and 77.02

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Solution

The fourth proportional to 214.00, 320.96 and 77.02 is: 115.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.00 : 320.96 = 77.02 : x
  2. Step 2: Convert to fraction form
    214.00/320.96 = 77.02/x
  3. Step 3: Cross multiply
    214.00x = 320.96 × 77.02
  4. Step 4: Simplify right side
    214.00x = 24,719.73
  5. Step 5: Solve for x
    x = 24,719.73/214.00
  6. Step 6: Final answer
    x = 115.51

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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.