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Finding the Fourth Proportional to 264.81, 397.22 and 93.81

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Solution

The fourth proportional to 264.81, 397.22 and 93.81 is: 140.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.81 : 397.22 = 93.81 : x
  2. Step 2: Convert to fraction form
    264.81/397.22 = 93.81/x
  3. Step 3: Cross multiply
    264.81x = 397.22 × 93.81
  4. Step 4: Simplify right side
    264.81x = 37,263.21
  5. Step 5: Solve for x
    x = 37,263.21/264.81
  6. Step 6: Final answer
    x = 140.72

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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.