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Finding the Fourth Proportional to 178.64, 268.20 and 146.48

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Solution

The fourth proportional to 178.64, 268.20 and 146.48 is: 219.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.64 : 268.20 = 146.48 : x
  2. Step 2: Convert to fraction form
    178.64/268.20 = 146.48/x
  3. Step 3: Cross multiply
    178.64x = 268.20 × 146.48
  4. Step 4: Simplify right side
    178.64x = 39,285.94
  5. Step 5: Solve for x
    x = 39,285.94/178.64
  6. Step 6: Final answer
    x = 219.92

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.