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Finding the Fourth Proportional to 264.90, 397.71 and 178.77

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Solution

The fourth proportional to 264.90, 397.71 and 178.77 is: 268.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.90 : 397.71 = 178.77 : x
  2. Step 2: Convert to fraction form
    264.90/397.71 = 178.77/x
  3. Step 3: Cross multiply
    264.90x = 397.71 × 178.77
  4. Step 4: Simplify right side
    264.90x = 71,098.62
  5. Step 5: Solve for x
    x = 71,098.62/264.90
  6. Step 6: Final answer
    x = 268.40

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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.