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Finding the Fourth Proportional to 154.36, 230.49 and 135.69

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Solution

The fourth proportional to 154.36, 230.49 and 135.69 is: 202.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.36 : 230.49 = 135.69 : x
  2. Step 2: Convert to fraction form
    154.36/230.49 = 135.69/x
  3. Step 3: Cross multiply
    154.36x = 230.49 × 135.69
  4. Step 4: Simplify right side
    154.36x = 31,275.19
  5. Step 5: Solve for x
    x = 31,275.19/154.36
  6. Step 6: Final answer
    x = 202.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.