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Finding the Fourth Proportional to 179.52, 247.78 and 146.54

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Solution

The fourth proportional to 179.52, 247.78 and 146.54 is: 202.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    179.52 : 247.78 = 146.54 : x
  2. Step 2: Convert to fraction form
    179.52/247.78 = 146.54/x
  3. Step 3: Cross multiply
    179.52x = 247.78 × 146.54
  4. Step 4: Simplify right side
    179.52x = 36,309.93
  5. Step 5: Solve for x
    x = 36,309.93/179.52
  6. Step 6: Final answer
    x = 202.26

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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.