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Finding the Fourth Proportional to 215.99, 325.16 and 193.67

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Solution

The fourth proportional to 215.99, 325.16 and 193.67 is: 291.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.99 : 325.16 = 193.67 : x
  2. Step 2: Convert to fraction form
    215.99/325.16 = 193.67/x
  3. Step 3: Cross multiply
    215.99x = 325.16 × 193.67
  4. Step 4: Simplify right side
    215.99x = 62,971.87
  5. Step 5: Solve for x
    x = 62,971.87/215.99
  6. Step 6: Final answer
    x = 291.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.