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Finding the Fourth Proportional to 214.50, 295.85 and 131.54

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Solution

The fourth proportional to 214.50, 295.85 and 131.54 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.50 : 295.85 = 131.54 : x
  2. Step 2: Convert to fraction form
    214.50/295.85 = 131.54/x
  3. Step 3: Cross multiply
    214.50x = 295.85 × 131.54
  4. Step 4: Simplify right side
    214.50x = 38,914.34
  5. Step 5: Solve for x
    x = 38,914.34/214.50
  6. Step 6: Final answer
    x = 181.42

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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.