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Finding the Fourth Proportional to 214.72, 296.20 and 131.84

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Solution

The fourth proportional to 214.72, 296.20 and 131.84 is: 181.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.72 : 296.20 = 131.84 : x
  2. Step 2: Convert to fraction form
    214.72/296.20 = 131.84/x
  3. Step 3: Cross multiply
    214.72x = 296.20 × 131.84
  4. Step 4: Simplify right side
    214.72x = 39,051.01
  5. Step 5: Solve for x
    x = 39,051.01/214.72
  6. Step 6: Final answer
    x = 181.87

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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.