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Finding the Fourth Proportional to 206.16, 308.64 and 137.52

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Solution

The fourth proportional to 206.16, 308.64 and 137.52 is: 205.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    206.16 : 308.64 = 137.52 : x
  2. Step 2: Convert to fraction form
    206.16/308.64 = 137.52/x
  3. Step 3: Cross multiply
    206.16x = 308.64 × 137.52
  4. Step 4: Simplify right side
    206.16x = 42,444.17
  5. Step 5: Solve for x
    x = 42,444.17/206.16
  6. Step 6: Final answer
    x = 205.88

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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.