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Finding the Fourth Proportional to 178.35, 267.04 and 142.30

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Solution

The fourth proportional to 178.35, 267.04 and 142.30 is: 213.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.35 : 267.04 = 142.30 : x
  2. Step 2: Convert to fraction form
    178.35/267.04 = 142.30/x
  3. Step 3: Cross multiply
    178.35x = 267.04 × 142.30
  4. Step 4: Simplify right side
    178.35x = 37,999.79
  5. Step 5: Solve for x
    x = 37,999.79/178.35
  6. Step 6: Final answer
    x = 213.06

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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.