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Finding the Fourth Proportional to 214.94, 297.17 and 162.76

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Solution

The fourth proportional to 214.94, 297.17 and 162.76 is: 225.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.94 : 297.17 = 162.76 : x
  2. Step 2: Convert to fraction form
    214.94/297.17 = 162.76/x
  3. Step 3: Cross multiply
    214.94x = 297.17 × 162.76
  4. Step 4: Simplify right side
    214.94x = 48,367.39
  5. Step 5: Solve for x
    x = 48,367.39/214.94
  6. Step 6: Final answer
    x = 225.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.