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Finding the Fourth Proportional to 265.96, 367 and 149.50

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Solution

The fourth proportional to 265.96, 367 and 149.50 is: 206.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.96 : 367 = 149.50 : x
  2. Step 2: Convert to fraction form
    265.96/367 = 149.50/x
  3. Step 3: Cross multiply
    265.96x = 367 × 149.50
  4. Step 4: Simplify right side
    265.96x = 54,866.50
  5. Step 5: Solve for x
    x = 54,866.50/265.96
  6. Step 6: Final answer
    x = 206.30

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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.