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Finding the Fourth Proportional to 214.52, 295.97 and 162.05

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Solution

The fourth proportional to 214.52, 295.97 and 162.05 is: 223.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.52 : 295.97 = 162.05 : x
  2. Step 2: Convert to fraction form
    214.52/295.97 = 162.05/x
  3. Step 3: Cross multiply
    214.52x = 295.97 × 162.05
  4. Step 4: Simplify right side
    214.52x = 47,959.65
  5. Step 5: Solve for x
    x = 47,959.65/214.52
  6. Step 6: Final answer
    x = 223.57

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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.