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Finding the Fourth Proportional to 178.63, 268.01 and 104.46

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Solution

The fourth proportional to 178.63, 268.01 and 104.46 is: 156.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.63 : 268.01 = 104.46 : x
  2. Step 2: Convert to fraction form
    178.63/268.01 = 104.46/x
  3. Step 3: Cross multiply
    178.63x = 268.01 × 104.46
  4. Step 4: Simplify right side
    178.63x = 27,995.19
  5. Step 5: Solve for x
    x = 27,995.19/178.63
  6. Step 6: Final answer
    x = 156.72

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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.