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Finding the Fourth Proportional to 351.90, 526.82 and 214.52

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Solution

The fourth proportional to 351.90, 526.82 and 214.52 is: 321.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.90 : 526.82 = 214.52 : x
  2. Step 2: Convert to fraction form
    351.90/526.82 = 214.52/x
  3. Step 3: Cross multiply
    351.90x = 526.82 × 214.52
  4. Step 4: Simplify right side
    351.90x = 113,009.72
  5. Step 5: Solve for x
    x = 113,009.72/351.90
  6. Step 6: Final answer
    x = 321.14

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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.