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Finding the Fourth Proportional to 177.56, 243.36 and 175.50

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Solution

The fourth proportional to 177.56, 243.36 and 175.50 is: 240.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    177.56 : 243.36 = 175.50 : x
  2. Step 2: Convert to fraction form
    177.56/243.36 = 175.50/x
  3. Step 3: Cross multiply
    177.56x = 243.36 × 175.50
  4. Step 4: Simplify right side
    177.56x = 42,709.68
  5. Step 5: Solve for x
    x = 42,709.68/177.56
  6. Step 6: Final answer
    x = 240.54

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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.