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Finding the Fourth Proportional to 215.81, 322.79 and 194.51

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Solution

The fourth proportional to 215.81, 322.79 and 194.51 is: 290.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.81 : 322.79 = 194.51 : x
  2. Step 2: Convert to fraction form
    215.81/322.79 = 194.51/x
  3. Step 3: Cross multiply
    215.81x = 322.79 × 194.51
  4. Step 4: Simplify right side
    215.81x = 62,784.76
  5. Step 5: Solve for x
    x = 62,784.76/215.81
  6. Step 6: Final answer
    x = 290.93

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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.