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Finding the Fourth Proportional to 351.27, 526.41 and 197.01

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Solution

The fourth proportional to 351.27, 526.41 and 197.01 is: 295.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.27 : 526.41 = 197.01 : x
  2. Step 2: Convert to fraction form
    351.27/526.41 = 197.01/x
  3. Step 3: Cross multiply
    351.27x = 526.41 × 197.01
  4. Step 4: Simplify right side
    351.27x = 103,708.03
  5. Step 5: Solve for x
    x = 103,708.03/351.27
  6. Step 6: Final answer
    x = 295.24

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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.