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Finding the Fourth Proportional to 264.59, 397.04 and 142.85

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Solution

The fourth proportional to 264.59, 397.04 and 142.85 is: 214.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.59 : 397.04 = 142.85 : x
  2. Step 2: Convert to fraction form
    264.59/397.04 = 142.85/x
  3. Step 3: Cross multiply
    264.59x = 397.04 × 142.85
  4. Step 4: Simplify right side
    264.59x = 56,717.98
  5. Step 5: Solve for x
    x = 56,717.98/264.59
  6. Step 6: Final answer
    x = 214.36

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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.