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Finding the Fourth Proportional to 154.57, 230.19 and 145.25

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Solution

The fourth proportional to 154.57, 230.19 and 145.25 is: 216.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.57 : 230.19 = 145.25 : x
  2. Step 2: Convert to fraction form
    154.57/230.19 = 145.25/x
  3. Step 3: Cross multiply
    154.57x = 230.19 × 145.25
  4. Step 4: Simplify right side
    154.57x = 33,434.37
  5. Step 5: Solve for x
    x = 33,434.37/154.57
  6. Step 6: Final answer
    x = 216.31

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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.