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Finding the Fourth Proportional to 154.64, 213.29 and 147.74

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Solution

The fourth proportional to 154.64, 213.29 and 147.74 is: 203.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.64 : 213.29 = 147.74 : x
  2. Step 2: Convert to fraction form
    154.64/213.29 = 147.74/x
  3. Step 3: Cross multiply
    154.64x = 213.29 × 147.74
  4. Step 4: Simplify right side
    154.64x = 31,511.46
  5. Step 5: Solve for x
    x = 31,511.46/154.64
  6. Step 6: Final answer
    x = 203.77

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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.