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Finding the Fourth Proportional to 351.29, 526.85 and 177.85

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Solution

The fourth proportional to 351.29, 526.85 and 177.85 is: 266.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.29 : 526.85 = 177.85 : x
  2. Step 2: Convert to fraction form
    351.29/526.85 = 177.85/x
  3. Step 3: Cross multiply
    351.29x = 526.85 × 177.85
  4. Step 4: Simplify right side
    351.29x = 93,698.75
  5. Step 5: Solve for x
    x = 93,698.75/351.29
  6. Step 6: Final answer
    x = 266.73

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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.