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Finding the Fourth Proportional to 214.74, 322.13 and 77.77

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Solution

The fourth proportional to 214.74, 322.13 and 77.77 is: 116.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.74 : 322.13 = 77.77 : x
  2. Step 2: Convert to fraction form
    214.74/322.13 = 77.77/x
  3. Step 3: Cross multiply
    214.74x = 322.13 × 77.77
  4. Step 4: Simplify right side
    214.74x = 25,052.05
  5. Step 5: Solve for x
    x = 25,052.05/214.74
  6. Step 6: Final answer
    x = 116.66

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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.