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Finding the Fourth Proportional to 265.86, 366.86 and 149.40

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Solution

The fourth proportional to 265.86, 366.86 and 149.40 is: 206.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.86 : 366.86 = 149.40 : x
  2. Step 2: Convert to fraction form
    265.86/366.86 = 149.40/x
  3. Step 3: Cross multiply
    265.86x = 366.86 × 149.40
  4. Step 4: Simplify right side
    265.86x = 54,807.42
  5. Step 5: Solve for x
    x = 54,807.42/265.86
  6. Step 6: Final answer
    x = 206.16

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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.