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Finding the Fourth Proportional to 346.57, 478.26 and 191.32

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Solution

The fourth proportional to 346.57, 478.26 and 191.32 is: 264.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.57 : 478.26 = 191.32 : x
  2. Step 2: Convert to fraction form
    346.57/478.26 = 191.32/x
  3. Step 3: Cross multiply
    346.57x = 478.26 × 191.32
  4. Step 4: Simplify right side
    346.57x = 91,500.70
  5. Step 5: Solve for x
    x = 91,500.70/346.57
  6. Step 6: Final answer
    x = 264.02

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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.