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Finding the Fourth Proportional to 264.99, 397.49 and 150.75

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Solution

The fourth proportional to 264.99, 397.49 and 150.75 is: 226.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.99 : 397.49 = 150.75 : x
  2. Step 2: Convert to fraction form
    264.99/397.49 = 150.75/x
  3. Step 3: Cross multiply
    264.99x = 397.49 × 150.75
  4. Step 4: Simplify right side
    264.99x = 59,920.86
  5. Step 5: Solve for x
    x = 59,920.86/264.99
  6. Step 6: Final answer
    x = 226.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.