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Finding the Fourth Proportional to 264.98, 397.23 and 102.56

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Solution

The fourth proportional to 264.98, 397.23 and 102.56 is: 153.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.98 : 397.23 = 102.56 : x
  2. Step 2: Convert to fraction form
    264.98/397.23 = 102.56/x
  3. Step 3: Cross multiply
    264.98x = 397.23 × 102.56
  4. Step 4: Simplify right side
    264.98x = 40,737.92
  5. Step 5: Solve for x
    x = 40,737.92/264.98
  6. Step 6: Final answer
    x = 153.74

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