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Finding the Fourth Proportional to 178.30, 245.76 and 143.23

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Solution

The fourth proportional to 178.30, 245.76 and 143.23 is: 197.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.30 : 245.76 = 143.23 : x
  2. Step 2: Convert to fraction form
    178.30/245.76 = 143.23/x
  3. Step 3: Cross multiply
    178.30x = 245.76 × 143.23
  4. Step 4: Simplify right side
    178.30x = 35,200.20
  5. Step 5: Solve for x
    x = 35,200.20/178.30
  6. Step 6: Final answer
    x = 197.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.