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Finding the Fourth Proportional to 341.92, 471.68 and 225.60

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Solution

The fourth proportional to 341.92, 471.68 and 225.60 is: 311.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.92 : 471.68 = 225.60 : x
  2. Step 2: Convert to fraction form
    341.92/471.68 = 225.60/x
  3. Step 3: Cross multiply
    341.92x = 471.68 × 225.60
  4. Step 4: Simplify right side
    341.92x = 106,411.01
  5. Step 5: Solve for x
    x = 106,411.01/341.92
  6. Step 6: Final answer
    x = 311.22

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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.