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Finding the Fourth Proportional to 215.96, 322.57 and 203.48

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Solution

The fourth proportional to 215.96, 322.57 and 203.48 is: 303.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.96 : 322.57 = 203.48 : x
  2. Step 2: Convert to fraction form
    215.96/322.57 = 203.48/x
  3. Step 3: Cross multiply
    215.96x = 322.57 × 203.48
  4. Step 4: Simplify right side
    215.96x = 65,636.54
  5. Step 5: Solve for x
    x = 65,636.54/215.96
  6. Step 6: Final answer
    x = 303.93

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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.