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Finding the Fourth Proportional to 264.66, 397.14 and 142.86

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Solution

The fourth proportional to 264.66, 397.14 and 142.86 is: 214.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.66 : 397.14 = 142.86 : x
  2. Step 2: Convert to fraction form
    264.66/397.14 = 142.86/x
  3. Step 3: Cross multiply
    264.66x = 397.14 × 142.86
  4. Step 4: Simplify right side
    264.66x = 56,735.42
  5. Step 5: Solve for x
    x = 56,735.42/264.66
  6. Step 6: Final answer
    x = 214.37

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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.