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Finding the Fourth Proportional to 206.40, 284.88 and 151.32

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Solution

The fourth proportional to 206.40, 284.88 and 151.32 is: 208.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.40 : 284.88 = 151.32 : x
  2. Step 2: Convert to fraction form
    206.40/284.88 = 151.32/x
  3. Step 3: Cross multiply
    206.40x = 284.88 × 151.32
  4. Step 4: Simplify right side
    206.40x = 43,108.04
  5. Step 5: Solve for x
    x = 43,108.04/206.40
  6. Step 6: Final answer
    x = 208.86

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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.