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Finding the Fourth Proportional to 351.23, 526.73 and 145.75

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Solution

The fourth proportional to 351.23, 526.73 and 145.75 is: 218.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.23 : 526.73 = 145.75 : x
  2. Step 2: Convert to fraction form
    351.23/526.73 = 145.75/x
  3. Step 3: Cross multiply
    351.23x = 526.73 × 145.75
  4. Step 4: Simplify right side
    351.23x = 76,770.90
  5. Step 5: Solve for x
    x = 76,770.90/351.23
  6. Step 6: Final answer
    x = 218.58

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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.