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Finding the Fourth Proportional to 154.21, 212.25 and 135.76

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Solution

The fourth proportional to 154.21, 212.25 and 135.76 is: 186.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.21 : 212.25 = 135.76 : x
  2. Step 2: Convert to fraction form
    154.21/212.25 = 135.76/x
  3. Step 3: Cross multiply
    154.21x = 212.25 × 135.76
  4. Step 4: Simplify right side
    154.21x = 28,815.06
  5. Step 5: Solve for x
    x = 28,815.06/154.21
  6. Step 6: Final answer
    x = 186.86

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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.