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Finding the Fourth Proportional to 371.05, 556.68 and 216.64

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Solution

The fourth proportional to 371.05, 556.68 and 216.64 is: 325.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.05 : 556.68 = 216.64 : x
  2. Step 2: Convert to fraction form
    371.05/556.68 = 216.64/x
  3. Step 3: Cross multiply
    371.05x = 556.68 × 216.64
  4. Step 4: Simplify right side
    371.05x = 120,599.16
  5. Step 5: Solve for x
    x = 120,599.16/371.05
  6. Step 6: Final answer
    x = 325.02

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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.