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Finding the Fourth Proportional to 154.32, 213.06 and 145.05

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Solution

The fourth proportional to 154.32, 213.06 and 145.05 is: 200.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 213.06 = 145.05 : x
  2. Step 2: Convert to fraction form
    154.32/213.06 = 145.05/x
  3. Step 3: Cross multiply
    154.32x = 213.06 × 145.05
  4. Step 4: Simplify right side
    154.32x = 30,904.35
  5. Step 5: Solve for x
    x = 30,904.35/154.32
  6. Step 6: Final answer
    x = 200.26

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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.