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Finding the Fourth Proportional to 503.63, 754.94 and 178.77

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Solution

The fourth proportional to 503.63, 754.94 and 178.77 is: 267.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.63 : 754.94 = 178.77 : x
  2. Step 2: Convert to fraction form
    503.63/754.94 = 178.77/x
  3. Step 3: Cross multiply
    503.63x = 754.94 × 178.77
  4. Step 4: Simplify right side
    503.63x = 134,962.90
  5. Step 5: Solve for x
    x = 134,962.90/503.63
  6. Step 6: Final answer
    x = 267.98

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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.