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Finding the Fourth Proportional to 178.81, 268.26 and 146.36

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Solution

The fourth proportional to 178.81, 268.26 and 146.36 is: 219.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.81 : 268.26 = 146.36 : x
  2. Step 2: Convert to fraction form
    178.81/268.26 = 146.36/x
  3. Step 3: Cross multiply
    178.81x = 268.26 × 146.36
  4. Step 4: Simplify right side
    178.81x = 39,261.97
  5. Step 5: Solve for x
    x = 39,261.97/178.81
  6. Step 6: Final answer
    x = 219.58

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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.