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Finding the Fourth Proportional to 154.10, 212.49 and 145.16

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Solution

The fourth proportional to 154.10, 212.49 and 145.16 is: 200.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.10 : 212.49 = 145.16 : x
  2. Step 2: Convert to fraction form
    154.10/212.49 = 145.16/x
  3. Step 3: Cross multiply
    154.10x = 212.49 × 145.16
  4. Step 4: Simplify right side
    154.10x = 30,843.99
  5. Step 5: Solve for x
    x = 30,843.99/154.10
  6. Step 6: Final answer
    x = 200.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.