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Finding the Fourth Proportional to 214.49, 296.00 and 131.55

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Solution

The fourth proportional to 214.49, 296.00 and 131.55 is: 181.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.49 : 296.00 = 131.55 : x
  2. Step 2: Convert to fraction form
    214.49/296.00 = 131.55/x
  3. Step 3: Cross multiply
    214.49x = 296.00 × 131.55
  4. Step 4: Simplify right side
    214.49x = 38,939.38
  5. Step 5: Solve for x
    x = 38,939.38/214.49
  6. Step 6: Final answer
    x = 181.54

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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.