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Finding the Fourth Proportional to 180.30, 248.82 and 106.58

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Solution

The fourth proportional to 180.30, 248.82 and 106.58 is: 147.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.30 : 248.82 = 106.58 : x
  2. Step 2: Convert to fraction form
    180.30/248.82 = 106.58/x
  3. Step 3: Cross multiply
    180.30x = 248.82 × 106.58
  4. Step 4: Simplify right side
    180.30x = 26,519.24
  5. Step 5: Solve for x
    x = 26,519.24/180.30
  6. Step 6: Final answer
    x = 147.08

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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.