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Finding the Fourth Proportional to 178.02, 245.75 and 142.97

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Solution

The fourth proportional to 178.02, 245.75 and 142.97 is: 197.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 245.75 = 142.97 : x
  2. Step 2: Convert to fraction form
    178.02/245.75 = 142.97/x
  3. Step 3: Cross multiply
    178.02x = 245.75 × 142.97
  4. Step 4: Simplify right side
    178.02x = 35,132.93
  5. Step 5: Solve for x
    x = 35,132.93/178.02
  6. Step 6: Final answer
    x = 197.35

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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.