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Finding the Fourth Proportional to 215.87, 322.24 and 184.89

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Solution

The fourth proportional to 215.87, 322.24 and 184.89 is: 275.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.87 : 322.24 = 184.89 : x
  2. Step 2: Convert to fraction form
    215.87/322.24 = 184.89/x
  3. Step 3: Cross multiply
    215.87x = 322.24 × 184.89
  4. Step 4: Simplify right side
    215.87x = 59,578.95
  5. Step 5: Solve for x
    x = 59,578.95/215.87
  6. Step 6: Final answer
    x = 275.99

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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.