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Finding the Fourth Proportional to 346.46, 478.06 and 191.21

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Solution

The fourth proportional to 346.46, 478.06 and 191.21 is: 263.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.46 : 478.06 = 191.21 : x
  2. Step 2: Convert to fraction form
    346.46/478.06 = 191.21/x
  3. Step 3: Cross multiply
    346.46x = 478.06 × 191.21
  4. Step 4: Simplify right side
    346.46x = 91,409.85
  5. Step 5: Solve for x
    x = 91,409.85/346.46
  6. Step 6: Final answer
    x = 263.84

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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.