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Finding the Fourth Proportional to 180.12, 248.54 and 121.16

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Solution

The fourth proportional to 180.12, 248.54 and 121.16 is: 167.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 248.54 = 121.16 : x
  2. Step 2: Convert to fraction form
    180.12/248.54 = 121.16/x
  3. Step 3: Cross multiply
    180.12x = 248.54 × 121.16
  4. Step 4: Simplify right side
    180.12x = 30,113.11
  5. Step 5: Solve for x
    x = 30,113.11/180.12
  6. Step 6: Final answer
    x = 167.18

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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.