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Finding the Fourth Proportional to 264, 395.64 and 142.32

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Solution

The fourth proportional to 264, 395.64 and 142.32 is: 213.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264 : 395.64 = 142.32 : x
  2. Step 2: Convert to fraction form
    264/395.64 = 142.32/x
  3. Step 3: Cross multiply
    264x = 395.64 × 142.32
  4. Step 4: Simplify right side
    264x = 56,307.48
  5. Step 5: Solve for x
    x = 56,307.48/264
  6. Step 6: Final answer
    x = 213.29

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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.