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Finding the Fourth Proportional to 346.82, 478.61 and 191.57

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Solution

The fourth proportional to 346.82, 478.61 and 191.57 is: 264.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.82 : 478.61 = 191.57 : x
  2. Step 2: Convert to fraction form
    346.82/478.61 = 191.57/x
  3. Step 3: Cross multiply
    346.82x = 478.61 × 191.57
  4. Step 4: Simplify right side
    346.82x = 91,687.32
  5. Step 5: Solve for x
    x = 91,687.32/346.82
  6. Step 6: Final answer
    x = 264.37

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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.