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Finding the Fourth Proportional to 265.44, 397.35 and 178.86

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Solution

The fourth proportional to 265.44, 397.35 and 178.86 is: 267.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.44 : 397.35 = 178.86 : x
  2. Step 2: Convert to fraction form
    265.44/397.35 = 178.86/x
  3. Step 3: Cross multiply
    265.44x = 397.35 × 178.86
  4. Step 4: Simplify right side
    265.44x = 71,070.02
  5. Step 5: Solve for x
    x = 71,070.02/265.44
  6. Step 6: Final answer
    x = 267.74

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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.