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Finding the Fourth Proportional to 178.92, 247.05 and 146.52

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Solution

The fourth proportional to 178.92, 247.05 and 146.52 is: 202.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.92 : 247.05 = 146.52 : x
  2. Step 2: Convert to fraction form
    178.92/247.05 = 146.52/x
  3. Step 3: Cross multiply
    178.92x = 247.05 × 146.52
  4. Step 4: Simplify right side
    178.92x = 36,197.77
  5. Step 5: Solve for x
    x = 36,197.77/178.92
  6. Step 6: Final answer
    x = 202.31

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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.