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Finding the Fourth Proportional to 214.79, 322.10 and 77.82

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Solution

The fourth proportional to 214.79, 322.10 and 77.82 is: 116.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.79 : 322.10 = 77.82 : x
  2. Step 2: Convert to fraction form
    214.79/322.10 = 77.82/x
  3. Step 3: Cross multiply
    214.79x = 322.10 × 77.82
  4. Step 4: Simplify right side
    214.79x = 25,065.43
  5. Step 5: Solve for x
    x = 25,065.43/214.79
  6. Step 6: Final answer
    x = 116.70

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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.