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Finding the Fourth Proportional to 251.42, 346.92 and 153.14

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Solution

The fourth proportional to 251.42, 346.92 and 153.14 is: 211.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.42 : 346.92 = 153.14 : x
  2. Step 2: Convert to fraction form
    251.42/346.92 = 153.14/x
  3. Step 3: Cross multiply
    251.42x = 346.92 × 153.14
  4. Step 4: Simplify right side
    251.42x = 53,127.33
  5. Step 5: Solve for x
    x = 53,127.33/251.42
  6. Step 6: Final answer
    x = 211.31

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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.