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Finding the Fourth Proportional to 146.19, 219.53 and 139.70

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Solution

The fourth proportional to 146.19, 219.53 and 139.70 is: 209.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    146.19 : 219.53 = 139.70 : x
  2. Step 2: Convert to fraction form
    146.19/219.53 = 139.70/x
  3. Step 3: Cross multiply
    146.19x = 219.53 × 139.70
  4. Step 4: Simplify right side
    146.19x = 30,666.54
  5. Step 5: Solve for x
    x = 30,666.54/146.19
  6. Step 6: Final answer
    x = 209.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.