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Finding the Fourth Proportional to 214.08, 295.20 and 157.80

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Solution

The fourth proportional to 214.08, 295.20 and 157.80 is: 217.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.08 : 295.20 = 157.80 : x
  2. Step 2: Convert to fraction form
    214.08/295.20 = 157.80/x
  3. Step 3: Cross multiply
    214.08x = 295.20 × 157.80
  4. Step 4: Simplify right side
    214.08x = 46,582.56
  5. Step 5: Solve for x
    x = 46,582.56/214.08
  6. Step 6: Final answer
    x = 217.59

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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.