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Finding the Fourth Proportional to 351.57, 526.52 and 178.02

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Solution

The fourth proportional to 351.57, 526.52 and 178.02 is: 266.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.57 : 526.52 = 178.02 : x
  2. Step 2: Convert to fraction form
    351.57/526.52 = 178.02/x
  3. Step 3: Cross multiply
    351.57x = 526.52 × 178.02
  4. Step 4: Simplify right side
    351.57x = 93,731.09
  5. Step 5: Solve for x
    x = 93,731.09/351.57
  6. Step 6: Final answer
    x = 266.61

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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.