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Finding the Fourth Proportional to 217.06, 325.80 and 178.93

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Solution

The fourth proportional to 217.06, 325.80 and 178.93 is: 268.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    217.06 : 325.80 = 178.93 : x
  2. Step 2: Convert to fraction form
    217.06/325.80 = 178.93/x
  3. Step 3: Cross multiply
    217.06x = 325.80 × 178.93
  4. Step 4: Simplify right side
    217.06x = 58,294.58
  5. Step 5: Solve for x
    x = 58,294.58/217.06
  6. Step 6: Final answer
    x = 268.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.