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Finding the Fourth Proportional to 144.30, 214.71 and 139.98

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Solution

The fourth proportional to 144.30, 214.71 and 139.98 is: 208.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.30 : 214.71 = 139.98 : x
  2. Step 2: Convert to fraction form
    144.30/214.71 = 139.98/x
  3. Step 3: Cross multiply
    144.30x = 214.71 × 139.98
  4. Step 4: Simplify right side
    144.30x = 30,055.11
  5. Step 5: Solve for x
    x = 30,055.11/144.30
  6. Step 6: Final answer
    x = 208.28

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