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Finding the Fourth Proportional to 251.19, 345.87 and 216.17

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Solution

The fourth proportional to 251.19, 345.87 and 216.17 is: 297.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.19 : 345.87 = 216.17 : x
  2. Step 2: Convert to fraction form
    251.19/345.87 = 216.17/x
  3. Step 3: Cross multiply
    251.19x = 345.87 × 216.17
  4. Step 4: Simplify right side
    251.19x = 74,764.99
  5. Step 5: Solve for x
    x = 74,764.99/251.19
  6. Step 6: Final answer
    x = 297.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.