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Finding the Fourth Proportional to 208.13, 287.01 and 188.51

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Solution

The fourth proportional to 208.13, 287.01 and 188.51 is: 259.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.13 : 287.01 = 188.51 : x
  2. Step 2: Convert to fraction form
    208.13/287.01 = 188.51/x
  3. Step 3: Cross multiply
    208.13x = 287.01 × 188.51
  4. Step 4: Simplify right side
    208.13x = 54,102.82
  5. Step 5: Solve for x
    x = 54,102.82/208.13
  6. Step 6: Final answer
    x = 259.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.