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Finding the Fourth Proportional to 214.71, 296.13 and 175.42

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Solution

The fourth proportional to 214.71, 296.13 and 175.42 is: 241.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    214.71 : 296.13 = 175.42 : x
  2. Step 2: Convert to fraction form
    214.71/296.13 = 175.42/x
  3. Step 3: Cross multiply
    214.71x = 296.13 × 175.42
  4. Step 4: Simplify right side
    214.71x = 51,947.12
  5. Step 5: Solve for x
    x = 51,947.12/214.71
  6. Step 6: Final answer
    x = 241.94

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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.