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Finding the Fourth Proportional to 180.10, 248.69 and 139.06

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Solution

The fourth proportional to 180.10, 248.69 and 139.06 is: 192.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.10 : 248.69 = 139.06 : x
  2. Step 2: Convert to fraction form
    180.10/248.69 = 139.06/x
  3. Step 3: Cross multiply
    180.10x = 248.69 × 139.06
  4. Step 4: Simplify right side
    180.10x = 34,582.83
  5. Step 5: Solve for x
    x = 34,582.83/180.10
  6. Step 6: Final answer
    x = 192.02

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.