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Finding the Fourth Proportional to 215.23, 296.81 and 199.51

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Solution

The fourth proportional to 215.23, 296.81 and 199.51 is: 275.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.23 : 296.81 = 199.51 : x
  2. Step 2: Convert to fraction form
    215.23/296.81 = 199.51/x
  3. Step 3: Cross multiply
    215.23x = 296.81 × 199.51
  4. Step 4: Simplify right side
    215.23x = 59,216.56
  5. Step 5: Solve for x
    x = 59,216.56/215.23
  6. Step 6: Final answer
    x = 275.13

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Why These Related Problems?

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