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Finding the Fourth Proportional to 251.67, 346.50 and 214.68

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Solution

The fourth proportional to 251.67, 346.50 and 214.68 is: 295.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    251.67 : 346.50 = 214.68 : x
  2. Step 2: Convert to fraction form
    251.67/346.50 = 214.68/x
  3. Step 3: Cross multiply
    251.67x = 346.50 × 214.68
  4. Step 4: Simplify right side
    251.67x = 74,386.62
  5. Step 5: Solve for x
    x = 74,386.62/251.67
  6. Step 6: Final answer
    x = 295.57

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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.