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Finding the Fourth Proportional to 264.88, 398.04 and 149.50

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Solution

The fourth proportional to 264.88, 398.04 and 149.50 is: 224.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.88 : 398.04 = 149.50 : x
  2. Step 2: Convert to fraction form
    264.88/398.04 = 149.50/x
  3. Step 3: Cross multiply
    264.88x = 398.04 × 149.50
  4. Step 4: Simplify right side
    264.88x = 59,506.98
  5. Step 5: Solve for x
    x = 59,506.98/264.88
  6. Step 6: Final answer
    x = 224.66

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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.