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Finding the Fourth Proportional to 154.32, 211.46 and 154.08

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Solution

The fourth proportional to 154.32, 211.46 and 154.08 is: 211.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.32 : 211.46 = 154.08 : x
  2. Step 2: Convert to fraction form
    154.32/211.46 = 154.08/x
  3. Step 3: Cross multiply
    154.32x = 211.46 × 154.08
  4. Step 4: Simplify right side
    154.32x = 32,581.76
  5. Step 5: Solve for x
    x = 32,581.76/154.32
  6. Step 6: Final answer
    x = 211.13

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.