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Finding the Fourth Proportional to 145.44, 219.42 and 137.84

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Solution

The fourth proportional to 145.44, 219.42 and 137.84 is: 207.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.44 : 219.42 = 137.84 : x
  2. Step 2: Convert to fraction form
    145.44/219.42 = 137.84/x
  3. Step 3: Cross multiply
    145.44x = 219.42 × 137.84
  4. Step 4: Simplify right side
    145.44x = 30,243.76
  5. Step 5: Solve for x
    x = 30,243.76/145.44
  6. Step 6: Final answer
    x = 207.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.