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Finding the Fourth Proportional to 215.25, 296.78 and 141.59

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Solution

The fourth proportional to 215.25, 296.78 and 141.59 is: 195.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.25 : 296.78 = 141.59 : x
  2. Step 2: Convert to fraction form
    215.25/296.78 = 141.59/x
  3. Step 3: Cross multiply
    215.25x = 296.78 × 141.59
  4. Step 4: Simplify right side
    215.25x = 42,018.89
  5. Step 5: Solve for x
    x = 42,018.89/215.25
  6. Step 6: Final answer
    x = 195.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.