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Finding the Fourth Proportional to 264.11, 362.30 and 261.68

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Solution

The fourth proportional to 264.11, 362.30 and 261.68 is: 358.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.11 : 362.30 = 261.68 : x
  2. Step 2: Convert to fraction form
    264.11/362.30 = 261.68/x
  3. Step 3: Cross multiply
    264.11x = 362.30 × 261.68
  4. Step 4: Simplify right side
    264.11x = 94,806.32
  5. Step 5: Solve for x
    x = 94,806.32/264.11
  6. Step 6: Final answer
    x = 358.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.