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Finding the Fourth Proportional to 214.14, 295.26 and 151.86

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Solution

The fourth proportional to 214.14, 295.26 and 151.86 is: 209.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.14 : 295.26 = 151.86 : x
  2. Step 2: Convert to fraction form
    214.14/295.26 = 151.86/x
  3. Step 3: Cross multiply
    214.14x = 295.26 × 151.86
  4. Step 4: Simplify right side
    214.14x = 44,838.18
  5. Step 5: Solve for x
    x = 44,838.18/214.14
  6. Step 6: Final answer
    x = 209.39

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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.