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Finding the Fourth Proportional to 147.24, 219.02 and 139.95

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Solution

The fourth proportional to 147.24, 219.02 and 139.95 is: 208.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    147.24 : 219.02 = 139.95 : x
  2. Step 2: Convert to fraction form
    147.24/219.02 = 139.95/x
  3. Step 3: Cross multiply
    147.24x = 219.02 × 139.95
  4. Step 4: Simplify right side
    147.24x = 30,651.15
  5. Step 5: Solve for x
    x = 30,651.15/147.24
  6. Step 6: Final answer
    x = 208.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.