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Finding the Fourth Proportional to 218.14, 325.64 and 189.45

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Solution

The fourth proportional to 218.14, 325.64 and 189.45 is: 282.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.14 : 325.64 = 189.45 : x
  2. Step 2: Convert to fraction form
    218.14/325.64 = 189.45/x
  3. Step 3: Cross multiply
    218.14x = 325.64 × 189.45
  4. Step 4: Simplify right side
    218.14x = 61,689.92
  5. Step 5: Solve for x
    x = 61,689.92/218.14
  6. Step 6: Final answer
    x = 282.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.