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Finding the Fourth Proportional to 180.88, 248.88 and 176.79

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Solution

The fourth proportional to 180.88, 248.88 and 176.79 is: 243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.88 : 248.88 = 176.79 : x
  2. Step 2: Convert to fraction form
    180.88/248.88 = 176.79/x
  3. Step 3: Cross multiply
    180.88x = 248.88 × 176.79
  4. Step 4: Simplify right side
    180.88x = 43,999.50
  5. Step 5: Solve for x
    x = 43,999.50/180.88
  6. Step 6: Final answer
    x = 243.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.