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Finding the Fourth Proportional to 503.51, 755.26 and 178.65

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Solution

The fourth proportional to 503.51, 755.26 and 178.65 is: 267.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.51 : 755.26 = 178.65 : x
  2. Step 2: Convert to fraction form
    503.51/755.26 = 178.65/x
  3. Step 3: Cross multiply
    503.51x = 755.26 × 178.65
  4. Step 4: Simplify right side
    503.51x = 134,927.20
  5. Step 5: Solve for x
    x = 134,927.20/503.51
  6. Step 6: Final answer
    x = 267.97

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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.