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Finding the Fourth Proportional to 265.99, 367.10 and 149.55

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Solution

The fourth proportional to 265.99, 367.10 and 149.55 is: 206.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.99 : 367.10 = 149.55 : x
  2. Step 2: Convert to fraction form
    265.99/367.10 = 149.55/x
  3. Step 3: Cross multiply
    265.99x = 367.10 × 149.55
  4. Step 4: Simplify right side
    265.99x = 54,899.81
  5. Step 5: Solve for x
    x = 54,899.81/265.99
  6. Step 6: Final answer
    x = 206.40

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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.