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Finding the Fourth Proportional to 265.46, 366.05 and 167.05

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Solution

The fourth proportional to 265.46, 366.05 and 167.05 is: 230.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.46 : 366.05 = 167.05 : x
  2. Step 2: Convert to fraction form
    265.46/366.05 = 167.05/x
  3. Step 3: Cross multiply
    265.46x = 366.05 × 167.05
  4. Step 4: Simplify right side
    265.46x = 61,145.99
  5. Step 5: Solve for x
    x = 61,145.99/265.46
  6. Step 6: Final answer
    x = 230.34

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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.