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Finding the Fourth Proportional to 144.94, 216.45 and 137.04

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Solution

The fourth proportional to 144.94, 216.45 and 137.04 is: 204.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    144.94 : 216.45 = 137.04 : x
  2. Step 2: Convert to fraction form
    144.94/216.45 = 137.04/x
  3. Step 3: Cross multiply
    144.94x = 216.45 × 137.04
  4. Step 4: Simplify right side
    144.94x = 29,663.63
  5. Step 5: Solve for x
    x = 29,663.63/144.94
  6. Step 6: Final answer
    x = 204.66

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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.