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Finding the Fourth Proportional to 214.72, 322.14 and 77.78

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Solution

The fourth proportional to 214.72, 322.14 and 77.78 is: 116.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 322.14 = 77.78 : x
  2. Step 2: Convert to fraction form
    214.72/322.14 = 77.78/x
  3. Step 3: Cross multiply
    214.72x = 322.14 × 77.78
  4. Step 4: Simplify right side
    214.72x = 25,056.05
  5. Step 5: Solve for x
    x = 25,056.05/214.72
  6. Step 6: Final answer
    x = 116.69

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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.