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Finding the Fourth Proportional to 154.72, 230.82 and 150.53

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Solution

The fourth proportional to 154.72, 230.82 and 150.53 is: 224.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.72 : 230.82 = 150.53 : x
  2. Step 2: Convert to fraction form
    154.72/230.82 = 150.53/x
  3. Step 3: Cross multiply
    154.72x = 230.82 × 150.53
  4. Step 4: Simplify right side
    154.72x = 34,744.58
  5. Step 5: Solve for x
    x = 34,744.58/154.72
  6. Step 6: Final answer
    x = 224.57

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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.