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Finding the Fourth Proportional to 210.05, 288.77 and 208.72

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Solution

The fourth proportional to 210.05, 288.77 and 208.72 is: 286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.05 : 288.77 = 208.72 : x
  2. Step 2: Convert to fraction form
    210.05/288.77 = 208.72/x
  3. Step 3: Cross multiply
    210.05x = 288.77 × 208.72
  4. Step 4: Simplify right side
    210.05x = 60,272.07
  5. Step 5: Solve for x
    x = 60,272.07/210.05
  6. Step 6: Final answer
    x = 286.94

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.