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Finding the Fourth Proportional to 351.18, 526.20 and 214.27

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Solution

The fourth proportional to 351.18, 526.20 and 214.27 is: 321.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.18 : 526.20 = 214.27 : x
  2. Step 2: Convert to fraction form
    351.18/526.20 = 214.27/x
  3. Step 3: Cross multiply
    351.18x = 526.20 × 214.27
  4. Step 4: Simplify right side
    351.18x = 112,748.87
  5. Step 5: Solve for x
    x = 112,748.87/351.18
  6. Step 6: Final answer
    x = 321.06

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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.