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Finding the Fourth Proportional to 264.90, 397.32 and 72.50

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Solution

The fourth proportional to 264.90, 397.32 and 72.50 is: 108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 397.32 = 72.50 : x
  2. Step 2: Convert to fraction form
    264.90/397.32 = 72.50/x
  3. Step 3: Cross multiply
    264.90x = 397.32 × 72.50
  4. Step 4: Simplify right side
    264.90x = 28,805.70
  5. Step 5: Solve for x
    x = 28,805.70/264.90
  6. Step 6: Final answer
    x = 108.74

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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.