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Finding the Fourth Proportional to 341.56, 511.68 and 225.66

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Solution

The fourth proportional to 341.56, 511.68 and 225.66 is: 338.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.56 : 511.68 = 225.66 : x
  2. Step 2: Convert to fraction form
    341.56/511.68 = 225.66/x
  3. Step 3: Cross multiply
    341.56x = 511.68 × 225.66
  4. Step 4: Simplify right side
    341.56x = 115,465.71
  5. Step 5: Solve for x
    x = 115,465.71/341.56
  6. Step 6: Final answer
    x = 338.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.