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Finding the Fourth Proportional to 208.54, 287.64 and 146.26

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Solution

The fourth proportional to 208.54, 287.64 and 146.26 is: 201.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.54 : 287.64 = 146.26 : x
  2. Step 2: Convert to fraction form
    208.54/287.64 = 146.26/x
  3. Step 3: Cross multiply
    208.54x = 287.64 × 146.26
  4. Step 4: Simplify right side
    208.54x = 42,070.23
  5. Step 5: Solve for x
    x = 42,070.23/208.54
  6. Step 6: Final answer
    x = 201.74

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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.