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Finding the Fourth Proportional to 251.93, 347.75 and 210.96

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Solution

The fourth proportional to 251.93, 347.75 and 210.96 is: 291.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.93 : 347.75 = 210.96 : x
  2. Step 2: Convert to fraction form
    251.93/347.75 = 210.96/x
  3. Step 3: Cross multiply
    251.93x = 347.75 × 210.96
  4. Step 4: Simplify right side
    251.93x = 73,361.34
  5. Step 5: Solve for x
    x = 73,361.34/251.93
  6. Step 6: Final answer
    x = 291.20

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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.