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Finding the Fourth Proportional to 341.68, 471.72 and 225.52

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Solution

The fourth proportional to 341.68, 471.72 and 225.52 is: 311.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.68 : 471.72 = 225.52 : x
  2. Step 2: Convert to fraction form
    341.68/471.72 = 225.52/x
  3. Step 3: Cross multiply
    341.68x = 471.72 × 225.52
  4. Step 4: Simplify right side
    341.68x = 106,382.29
  5. Step 5: Solve for x
    x = 106,382.29/341.68
  6. Step 6: Final answer
    x = 311.35

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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.