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Finding the Fourth Proportional to 208.39, 287.53 and 152.47

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Solution

The fourth proportional to 208.39, 287.53 and 152.47 is: 210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.39 : 287.53 = 152.47 : x
  2. Step 2: Convert to fraction form
    208.39/287.53 = 152.47/x
  3. Step 3: Cross multiply
    208.39x = 287.53 × 152.47
  4. Step 4: Simplify right side
    208.39x = 43,839.70
  5. Step 5: Solve for x
    x = 43,839.70/208.39
  6. Step 6: Final answer
    x = 210.37

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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.