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Finding the Fourth Proportional to 265.87, 366.92 and 147.86

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Solution

The fourth proportional to 265.87, 366.92 and 147.86 is: 204.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.87 : 366.92 = 147.86 : x
  2. Step 2: Convert to fraction form
    265.87/366.92 = 147.86/x
  3. Step 3: Cross multiply
    265.87x = 366.92 × 147.86
  4. Step 4: Simplify right side
    265.87x = 54,254.35
  5. Step 5: Solve for x
    x = 54,254.35/265.87
  6. Step 6: Final answer
    x = 204.06

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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.