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Finding the Fourth Proportional to 154.24, 212.47 and 146.42

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Solution

The fourth proportional to 154.24, 212.47 and 146.42 is: 201.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.24 : 212.47 = 146.42 : x
  2. Step 2: Convert to fraction form
    154.24/212.47 = 146.42/x
  3. Step 3: Cross multiply
    154.24x = 212.47 × 146.42
  4. Step 4: Simplify right side
    154.24x = 31,111.24
  5. Step 5: Solve for x
    x = 31,111.24/154.24
  6. Step 6: Final answer
    x = 201.71

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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.