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Finding the Fourth Proportional to 503.16, 754.74 and 178.54

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Solution

The fourth proportional to 503.16, 754.74 and 178.54 is: 267.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 754.74 = 178.54 : x
  2. Step 2: Convert to fraction form
    503.16/754.74 = 178.54/x
  3. Step 3: Cross multiply
    503.16x = 754.74 × 178.54
  4. Step 4: Simplify right side
    503.16x = 134,747.51
  5. Step 5: Solve for x
    x = 134,747.51/503.16
  6. Step 6: Final answer
    x = 267.80

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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.