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Finding the Fourth Proportional to 180.39, 248.61 and 127.95

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Solution

The fourth proportional to 180.39, 248.61 and 127.95 is: 176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.39 : 248.61 = 127.95 : x
  2. Step 2: Convert to fraction form
    180.39/248.61 = 127.95/x
  3. Step 3: Cross multiply
    180.39x = 248.61 × 127.95
  4. Step 4: Simplify right side
    180.39x = 31,809.65
  5. Step 5: Solve for x
    x = 31,809.65/180.39
  6. Step 6: Final answer
    x = 176.34

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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.