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Finding the Fourth Proportional to 180.45, 248.96 and 128.00

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Solution

The fourth proportional to 180.45, 248.96 and 128.00 is: 176.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.45 : 248.96 = 128.00 : x
  2. Step 2: Convert to fraction form
    180.45/248.96 = 128.00/x
  3. Step 3: Cross multiply
    180.45x = 248.96 × 128.00
  4. Step 4: Simplify right side
    180.45x = 31,867.82
  5. Step 5: Solve for x
    x = 31,867.82/180.45
  6. Step 6: Final answer
    x = 176.60

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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.