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Finding the Fourth Proportional to 251.40, 347 and 153.19

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Solution

The fourth proportional to 251.40, 347 and 153.19 is: 211.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.40 : 347 = 153.19 : x
  2. Step 2: Convert to fraction form
    251.40/347 = 153.19/x
  3. Step 3: Cross multiply
    251.40x = 347 × 153.19
  4. Step 4: Simplify right side
    251.40x = 53,156.93
  5. Step 5: Solve for x
    x = 53,156.93/251.40
  6. Step 6: Final answer
    x = 211.44

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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.