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Finding the Fourth Proportional to 456.21, 684.28 and 178.57

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Solution

The fourth proportional to 456.21, 684.28 and 178.57 is: 267.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.21 : 684.28 = 178.57 : x
  2. Step 2: Convert to fraction form
    456.21/684.28 = 178.57/x
  3. Step 3: Cross multiply
    456.21x = 684.28 × 178.57
  4. Step 4: Simplify right side
    456.21x = 122,189.72
  5. Step 5: Solve for x
    x = 122,189.72/456.21
  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.