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Finding the Fourth Proportional to 144.04, 215.21 and 137.32

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Solution

The fourth proportional to 144.04, 215.21 and 137.32 is: 205.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.04 : 215.21 = 137.32 : x
  2. Step 2: Convert to fraction form
    144.04/215.21 = 137.32/x
  3. Step 3: Cross multiply
    144.04x = 215.21 × 137.32
  4. Step 4: Simplify right side
    144.04x = 29,552.64
  5. Step 5: Solve for x
    x = 29,552.64/144.04
  6. Step 6: Final answer
    x = 205.17

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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.