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Finding the Fourth Proportional to 351.54, 526.88 and 197.24

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Solution

The fourth proportional to 351.54, 526.88 and 197.24 is: 295.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.54 : 526.88 = 197.24 : x
  2. Step 2: Convert to fraction form
    351.54/526.88 = 197.24/x
  3. Step 3: Cross multiply
    351.54x = 526.88 × 197.24
  4. Step 4: Simplify right side
    351.54x = 103,921.81
  5. Step 5: Solve for x
    x = 103,921.81/351.54
  6. Step 6: Final answer
    x = 295.62

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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.