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Finding the Fourth Proportional to 214.12, 295.48 and 186.48

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Solution

The fourth proportional to 214.12, 295.48 and 186.48 is: 257.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.12 : 295.48 = 186.48 : x
  2. Step 2: Convert to fraction form
    214.12/295.48 = 186.48/x
  3. Step 3: Cross multiply
    214.12x = 295.48 × 186.48
  4. Step 4: Simplify right side
    214.12x = 55,101.34
  5. Step 5: Solve for x
    x = 55,101.34/214.12
  6. Step 6: Final answer
    x = 257.34

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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.