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Finding the Fourth Proportional to 192.72, 265.60 and 178.02

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Solution

The fourth proportional to 192.72, 265.60 and 178.02 is: 245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    192.72 : 265.60 = 178.02 : x
  2. Step 2: Convert to fraction form
    192.72/265.60 = 178.02/x
  3. Step 3: Cross multiply
    192.72x = 265.60 × 178.02
  4. Step 4: Simplify right side
    192.72x = 47,282.11
  5. Step 5: Solve for x
    x = 47,282.11/192.72
  6. Step 6: Final answer
    x = 245.34

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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.