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Finding the Fourth Proportional to 214.96, 296.72 and 141.36

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Solution

The fourth proportional to 214.96, 296.72 and 141.36 is: 195.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.96 : 296.72 = 141.36 : x
  2. Step 2: Convert to fraction form
    214.96/296.72 = 141.36/x
  3. Step 3: Cross multiply
    214.96x = 296.72 × 141.36
  4. Step 4: Simplify right side
    214.96x = 41,944.34
  5. Step 5: Solve for x
    x = 41,944.34/214.96
  6. Step 6: Final answer
    x = 195.13

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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.