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Finding the Fourth Proportional to 145.19, 218.09 and 138.24

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Solution

The fourth proportional to 145.19, 218.09 and 138.24 is: 207.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    145.19 : 218.09 = 138.24 : x
  2. Step 2: Convert to fraction form
    145.19/218.09 = 138.24/x
  3. Step 3: Cross multiply
    145.19x = 218.09 × 138.24
  4. Step 4: Simplify right side
    145.19x = 30,149.11
  5. Step 5: Solve for x
    x = 30,149.11/145.19
  6. Step 6: Final answer
    x = 207.65

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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.