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Finding the Fourth Proportional to 208.65, 287.84 and 135.03

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Solution

The fourth proportional to 208.65, 287.84 and 135.03 is: 186.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.65 : 287.84 = 135.03 : x
  2. Step 2: Convert to fraction form
    208.65/287.84 = 135.03/x
  3. Step 3: Cross multiply
    208.65x = 287.84 × 135.03
  4. Step 4: Simplify right side
    208.65x = 38,866.36
  5. Step 5: Solve for x
    x = 38,866.36/208.65
  6. Step 6: Final answer
    x = 186.28

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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.