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Finding the Fourth Proportional to 264.58, 396.93 and 102.31

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Solution

The fourth proportional to 264.58, 396.93 and 102.31 is: 153.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.58 : 396.93 = 102.31 : x
  2. Step 2: Convert to fraction form
    264.58/396.93 = 102.31/x
  3. Step 3: Cross multiply
    264.58x = 396.93 × 102.31
  4. Step 4: Simplify right side
    264.58x = 40,609.40
  5. Step 5: Solve for x
    x = 40,609.40/264.58
  6. Step 6: Final answer
    x = 153.49

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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.