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Finding the Fourth Proportional to 208.16, 310.40 and 206.36

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Solution

The fourth proportional to 208.16, 310.40 and 206.36 is: 307.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.16 : 310.40 = 206.36 : x
  2. Step 2: Convert to fraction form
    208.16/310.40 = 206.36/x
  3. Step 3: Cross multiply
    208.16x = 310.40 × 206.36
  4. Step 4: Simplify right side
    208.16x = 64,054.14
  5. Step 5: Solve for x
    x = 64,054.14/208.16
  6. Step 6: Final answer
    x = 307.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.