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Finding the Fourth Proportional to 215.08, 322.02 and 162.86

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Solution

The fourth proportional to 215.08, 322.02 and 162.86 is: 243.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.08 : 322.02 = 162.86 : x
  2. Step 2: Convert to fraction form
    215.08/322.02 = 162.86/x
  3. Step 3: Cross multiply
    215.08x = 322.02 × 162.86
  4. Step 4: Simplify right side
    215.08x = 52,442.57
  5. Step 5: Solve for x
    x = 52,442.57/215.08
  6. Step 6: Final answer
    x = 243.83

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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.