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Finding the Fourth Proportional to 503.16, 754.86 and 178.53

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Solution

The fourth proportional to 503.16, 754.86 and 178.53 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    503.16 : 754.86 = 178.53 : x
  2. Step 2: Convert to fraction form
    503.16/754.86 = 178.53/x
  3. Step 3: Cross multiply
    503.16x = 754.86 × 178.53
  4. Step 4: Simplify right side
    503.16x = 134,765.16
  5. Step 5: Solve for x
    x = 134,765.16/503.16
  6. Step 6: Final answer
    x = 267.84

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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.