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Finding the Fourth Proportional to 251.96, 347.64 and 208.16

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Solution

The fourth proportional to 251.96, 347.64 and 208.16 is: 287.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.96 : 347.64 = 208.16 : x
  2. Step 2: Convert to fraction form
    251.96/347.64 = 208.16/x
  3. Step 3: Cross multiply
    251.96x = 347.64 × 208.16
  4. Step 4: Simplify right side
    251.96x = 72,364.74
  5. Step 5: Solve for x
    x = 72,364.74/251.96
  6. Step 6: Final answer
    x = 287.21

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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.