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Finding the Fourth Proportional to 341.87, 471.76 and 192.49

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Solution

The fourth proportional to 341.87, 471.76 and 192.49 is: 265.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.87 : 471.76 = 192.49 : x
  2. Step 2: Convert to fraction form
    341.87/471.76 = 192.49/x
  3. Step 3: Cross multiply
    341.87x = 471.76 × 192.49
  4. Step 4: Simplify right side
    341.87x = 90,809.08
  5. Step 5: Solve for x
    x = 90,809.08/341.87
  6. Step 6: Final answer
    x = 265.62

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.