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Finding the Fourth Proportional to 145.86, 219.09 and 137.36

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Solution

The fourth proportional to 145.86, 219.09 and 137.36 is: 206.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.86 : 219.09 = 137.36 : x
  2. Step 2: Convert to fraction form
    145.86/219.09 = 137.36/x
  3. Step 3: Cross multiply
    145.86x = 219.09 × 137.36
  4. Step 4: Simplify right side
    145.86x = 30,093.11
  5. Step 5: Solve for x
    x = 30,093.11/145.86
  6. Step 6: Final answer
    x = 206.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.