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Finding the Fourth Proportional to 206.31, 284.70 and 127.64

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Solution

The fourth proportional to 206.31, 284.70 and 127.64 is: 176.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.31 : 284.70 = 127.64 : x
  2. Step 2: Convert to fraction form
    206.31/284.70 = 127.64/x
  3. Step 3: Cross multiply
    206.31x = 284.70 × 127.64
  4. Step 4: Simplify right side
    206.31x = 36,339.11
  5. Step 5: Solve for x
    x = 36,339.11/206.31
  6. Step 6: Final answer
    x = 176.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.