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Finding the Fourth Proportional to 178.03, 243.56 and 177.26

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Solution

The fourth proportional to 178.03, 243.56 and 177.26 is: 242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.03 : 243.56 = 177.26 : x
  2. Step 2: Convert to fraction form
    178.03/243.56 = 177.26/x
  3. Step 3: Cross multiply
    178.03x = 243.56 × 177.26
  4. Step 4: Simplify right side
    178.03x = 43,173.28
  5. Step 5: Solve for x
    x = 43,173.28/178.03
  6. Step 6: Final answer
    x = 242.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.