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Finding the Fourth Proportional to 346.86, 478.66 and 191.62

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Solution

The fourth proportional to 346.86, 478.66 and 191.62 is: 264.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.86 : 478.66 = 191.62 : x
  2. Step 2: Convert to fraction form
    346.86/478.66 = 191.62/x
  3. Step 3: Cross multiply
    346.86x = 478.66 × 191.62
  4. Step 4: Simplify right side
    346.86x = 91,720.83
  5. Step 5: Solve for x
    x = 91,720.83/346.86
  6. Step 6: Final answer
    x = 264.43

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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.