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Finding the Fourth Proportional to 181.86, 252.51 and 177.45

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Solution

The fourth proportional to 181.86, 252.51 and 177.45 is: 246.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    181.86 : 252.51 = 177.45 : x
  2. Step 2: Convert to fraction form
    181.86/252.51 = 177.45/x
  3. Step 3: Cross multiply
    181.86x = 252.51 × 177.45
  4. Step 4: Simplify right side
    181.86x = 44,807.90
  5. Step 5: Solve for x
    x = 44,807.90/181.86
  6. Step 6: Final answer
    x = 246.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.