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Finding the Fourth Proportional to 180.86, 250.58 and 176.40

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Solution

The fourth proportional to 180.86, 250.58 and 176.40 is: 244.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.86 : 250.58 = 176.40 : x
  2. Step 2: Convert to fraction form
    180.86/250.58 = 176.40/x
  3. Step 3: Cross multiply
    180.86x = 250.58 × 176.40
  4. Step 4: Simplify right side
    180.86x = 44,202.75
  5. Step 5: Solve for x
    x = 44,202.75/180.86
  6. Step 6: Final answer
    x = 244.41

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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.