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Finding the Fourth Proportional to 178.02, 266.58 and 96.75

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Solution

The fourth proportional to 178.02, 266.58 and 96.75 is: 144.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.02 : 266.58 = 96.75 : x
  2. Step 2: Convert to fraction form
    178.02/266.58 = 96.75/x
  3. Step 3: Cross multiply
    178.02x = 266.58 × 96.75
  4. Step 4: Simplify right side
    178.02x = 25,791.62
  5. Step 5: Solve for x
    x = 25,791.62/178.02
  6. Step 6: Final answer
    x = 144.88

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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.