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Finding the Fourth Proportional to 154.71, 230.55 and 154.11

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Solution

The fourth proportional to 154.71, 230.55 and 154.11 is: 229.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.71 : 230.55 = 154.11 : x
  2. Step 2: Convert to fraction form
    154.71/230.55 = 154.11/x
  3. Step 3: Cross multiply
    154.71x = 230.55 × 154.11
  4. Step 4: Simplify right side
    154.71x = 35,530.06
  5. Step 5: Solve for x
    x = 35,530.06/154.71
  6. Step 6: Final answer
    x = 229.66

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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.