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Finding the Fourth Proportional to 264.97, 397.41 and 102.57

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Solution

The fourth proportional to 264.97, 397.41 and 102.57 is: 153.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.97 : 397.41 = 102.57 : x
  2. Step 2: Convert to fraction form
    264.97/397.41 = 102.57/x
  3. Step 3: Cross multiply
    264.97x = 397.41 × 102.57
  4. Step 4: Simplify right side
    264.97x = 40,762.34
  5. Step 5: Solve for x
    x = 40,762.34/264.97
  6. Step 6: Final answer
    x = 153.84

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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.