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Finding the Fourth Proportional to 251.99, 347.74 and 152.49

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Solution

The fourth proportional to 251.99, 347.74 and 152.49 is: 210.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.99 : 347.74 = 152.49 : x
  2. Step 2: Convert to fraction form
    251.99/347.74 = 152.49/x
  3. Step 3: Cross multiply
    251.99x = 347.74 × 152.49
  4. Step 4: Simplify right side
    251.99x = 53,025.43
  5. Step 5: Solve for x
    x = 53,025.43/251.99
  6. Step 6: Final answer
    x = 210.43

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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.