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Finding the Fourth Proportional to 264.69, 397.19 and 178.07

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Solution

The fourth proportional to 264.69, 397.19 and 178.07 is: 267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.69 : 397.19 = 178.07 : x
  2. Step 2: Convert to fraction form
    264.69/397.19 = 178.07/x
  3. Step 3: Cross multiply
    264.69x = 397.19 × 178.07
  4. Step 4: Simplify right side
    264.69x = 70,724.75
  5. Step 5: Solve for x
    x = 70,724.75/264.69
  6. Step 6: Final answer
    x = 267.20

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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.