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Finding the Fourth Proportional to 370.90, 556.17 and 216.87

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Solution

The fourth proportional to 370.90, 556.17 and 216.87 is: 325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.90 : 556.17 = 216.87 : x
  2. Step 2: Convert to fraction form
    370.90/556.17 = 216.87/x
  3. Step 3: Cross multiply
    370.90x = 556.17 × 216.87
  4. Step 4: Simplify right side
    370.90x = 120,612.72
  5. Step 5: Solve for x
    x = 120,612.72/370.90
  6. Step 6: Final answer
    x = 325.19

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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.