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Finding the Fourth Proportional to 215.07, 322.74 and 197.65

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Solution

The fourth proportional to 215.07, 322.74 and 197.65 is: 296.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.07 : 322.74 = 197.65 : x
  2. Step 2: Convert to fraction form
    215.07/322.74 = 197.65/x
  3. Step 3: Cross multiply
    215.07x = 322.74 × 197.65
  4. Step 4: Simplify right side
    215.07x = 63,787.45
  5. Step 5: Solve for x
    x = 63,787.45/215.07
  6. Step 6: Final answer
    x = 296.59

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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.