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Finding the Fourth Proportional to 341.66, 471.16 and 217.10

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Solution

The fourth proportional to 341.66, 471.16 and 217.10 is: 299.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    341.66 : 471.16 = 217.10 : x
  2. Step 2: Convert to fraction form
    341.66/471.16 = 217.10/x
  3. Step 3: Cross multiply
    341.66x = 471.16 × 217.10
  4. Step 4: Simplify right side
    341.66x = 102,288.84
  5. Step 5: Solve for x
    x = 102,288.84/341.66
  6. Step 6: Final answer
    x = 299.39

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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.