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Finding the Fourth Proportional to 264.51, 397 and 142.87

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Solution

The fourth proportional to 264.51, 397 and 142.87 is: 214.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 397 = 142.87 : x
  2. Step 2: Convert to fraction form
    264.51/397 = 142.87/x
  3. Step 3: Cross multiply
    264.51x = 397 × 142.87
  4. Step 4: Simplify right side
    264.51x = 56,719.39
  5. Step 5: Solve for x
    x = 56,719.39/264.51
  6. Step 6: Final answer
    x = 214.43

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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.