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Finding the Fourth Proportional to 265.64, 366.46 and 178.34

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Solution

The fourth proportional to 265.64, 366.46 and 178.34 is: 246.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.64 : 366.46 = 178.34 : x
  2. Step 2: Convert to fraction form
    265.64/366.46 = 178.34/x
  3. Step 3: Cross multiply
    265.64x = 366.46 × 178.34
  4. Step 4: Simplify right side
    265.64x = 65,351.75
  5. Step 5: Solve for x
    x = 65,351.75/265.64
  6. Step 6: Final answer
    x = 246.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.