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Finding the Fourth Proportional to 208.85, 287.81 and 152.64

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Solution

The fourth proportional to 208.85, 287.81 and 152.64 is: 210.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    208.85 : 287.81 = 152.64 : x
  2. Step 2: Convert to fraction form
    208.85/287.81 = 152.64/x
  3. Step 3: Cross multiply
    208.85x = 287.81 × 152.64
  4. Step 4: Simplify right side
    208.85x = 43,930.56
  5. Step 5: Solve for x
    x = 43,930.56/208.85
  6. Step 6: Final answer
    x = 210.35

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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.