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Finding the Fourth Proportional to 264.14, 396.04 and 101.75

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Solution

The fourth proportional to 264.14, 396.04 and 101.75 is: 152.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.14 : 396.04 = 101.75 : x
  2. Step 2: Convert to fraction form
    264.14/396.04 = 101.75/x
  3. Step 3: Cross multiply
    264.14x = 396.04 × 101.75
  4. Step 4: Simplify right side
    264.14x = 40,297.07
  5. Step 5: Solve for x
    x = 40,297.07/264.14
  6. Step 6: Final answer
    x = 152.56

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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.