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Finding the Fourth Proportional to 144.84, 215.88 and 137.52

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Solution

The fourth proportional to 144.84, 215.88 and 137.52 is: 204.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.84 : 215.88 = 137.52 : x
  2. Step 2: Convert to fraction form
    144.84/215.88 = 137.52/x
  3. Step 3: Cross multiply
    144.84x = 215.88 × 137.52
  4. Step 4: Simplify right side
    144.84x = 29,687.82
  5. Step 5: Solve for x
    x = 29,687.82/144.84
  6. Step 6: Final answer
    x = 204.97

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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.