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Finding the Fourth Proportional to 351.93, 527.19 and 178.59

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Solution

The fourth proportional to 351.93, 527.19 and 178.59 is: 267.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.93 : 527.19 = 178.59 : x
  2. Step 2: Convert to fraction form
    351.93/527.19 = 178.59/x
  3. Step 3: Cross multiply
    351.93x = 527.19 × 178.59
  4. Step 4: Simplify right side
    351.93x = 94,150.86
  5. Step 5: Solve for x
    x = 94,150.86/351.93
  6. Step 6: Final answer
    x = 267.53

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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.