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Finding the Fourth Proportional to 178.63, 266.46 and 151.37

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Solution

The fourth proportional to 178.63, 266.46 and 151.37 is: 225.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.63 : 266.46 = 151.37 : x
  2. Step 2: Convert to fraction form
    178.63/266.46 = 151.37/x
  3. Step 3: Cross multiply
    178.63x = 266.46 × 151.37
  4. Step 4: Simplify right side
    178.63x = 40,335.43
  5. Step 5: Solve for x
    x = 40,335.43/178.63
  6. Step 6: Final answer
    x = 225.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.