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Finding the Fourth Proportional to 206.08, 284.06 and 156.87

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Solution

The fourth proportional to 206.08, 284.06 and 156.87 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.08 : 284.06 = 156.87 : x
  2. Step 2: Convert to fraction form
    206.08/284.06 = 156.87/x
  3. Step 3: Cross multiply
    206.08x = 284.06 × 156.87
  4. Step 4: Simplify right side
    206.08x = 44,560.88
  5. Step 5: Solve for x
    x = 44,560.88/206.08
  6. Step 6: Final answer
    x = 216.23

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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.