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Finding the Fourth Proportional to 214.48, 295.85 and 131.52

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Solution

The fourth proportional to 214.48, 295.85 and 131.52 is: 181.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.48 : 295.85 = 131.52 : x
  2. Step 2: Convert to fraction form
    214.48/295.85 = 131.52/x
  3. Step 3: Cross multiply
    214.48x = 295.85 × 131.52
  4. Step 4: Simplify right side
    214.48x = 38,911.63
  5. Step 5: Solve for x
    x = 38,911.63/214.48
  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.