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Finding the Fourth Proportional to 215.40, 322.98 and 189.78

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Solution

The fourth proportional to 215.40, 322.98 and 189.78 is: 284.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.40 : 322.98 = 189.78 : x
  2. Step 2: Convert to fraction form
    215.40/322.98 = 189.78/x
  3. Step 3: Cross multiply
    215.40x = 322.98 × 189.78
  4. Step 4: Simplify right side
    215.40x = 61,295.14
  5. Step 5: Solve for x
    x = 61,295.14/215.40
  6. Step 6: Final answer
    x = 284.56

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