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Finding the Fourth Proportional to 180.12, 248.47 and 167.06

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Solution

The fourth proportional to 180.12, 248.47 and 167.06 is: 230.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.12 : 248.47 = 167.06 : x
  2. Step 2: Convert to fraction form
    180.12/248.47 = 167.06/x
  3. Step 3: Cross multiply
    180.12x = 248.47 × 167.06
  4. Step 4: Simplify right side
    180.12x = 41,509.60
  5. Step 5: Solve for x
    x = 41,509.60/180.12
  6. Step 6: Final answer
    x = 230.45

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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.