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Finding the Fourth Proportional to 314.97, 434.66 and 175.09

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Solution

The fourth proportional to 314.97, 434.66 and 175.09 is: 241.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.97 : 434.66 = 175.09 : x
  2. Step 2: Convert to fraction form
    314.97/434.66 = 175.09/x
  3. Step 3: Cross multiply
    314.97x = 434.66 × 175.09
  4. Step 4: Simplify right side
    314.97x = 76,104.62
  5. Step 5: Solve for x
    x = 76,104.62/314.97
  6. Step 6: Final answer
    x = 241.62

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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.