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Finding the Fourth Proportional to 351.82, 526.91 and 197.51

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Solution

The fourth proportional to 351.82, 526.91 and 197.51 is: 295.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.82 : 526.91 = 197.51 : x
  2. Step 2: Convert to fraction form
    351.82/526.91 = 197.51/x
  3. Step 3: Cross multiply
    351.82x = 526.91 × 197.51
  4. Step 4: Simplify right side
    351.82x = 104,069.99
  5. Step 5: Solve for x
    x = 104,069.99/351.82
  6. Step 6: Final answer
    x = 295.81

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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.