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Finding the Fourth Proportional to 178.01, 265.11 and 167.54

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Solution

The fourth proportional to 178.01, 265.11 and 167.54 is: 249.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.01 : 265.11 = 167.54 : x
  2. Step 2: Convert to fraction form
    178.01/265.11 = 167.54/x
  3. Step 3: Cross multiply
    178.01x = 265.11 × 167.54
  4. Step 4: Simplify right side
    178.01x = 44,415.20
  5. Step 5: Solve for x
    x = 44,415.20/178.01
  6. Step 6: Final answer
    x = 249.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.