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Finding the Fourth Proportional to 154.17, 213.08 and 148.41

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Solution

The fourth proportional to 154.17, 213.08 and 148.41 is: 205.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.17 : 213.08 = 148.41 : x
  2. Step 2: Convert to fraction form
    154.17/213.08 = 148.41/x
  3. Step 3: Cross multiply
    154.17x = 213.08 × 148.41
  4. Step 4: Simplify right side
    154.17x = 31,622.46
  5. Step 5: Solve for x
    x = 31,622.46/154.17
  6. Step 6: Final answer
    x = 205.11

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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.