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Finding the Fourth Proportional to 215.24, 296.84 and 162.05

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Solution

The fourth proportional to 215.24, 296.84 and 162.05 is: 223.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.24 : 296.84 = 162.05 : x
  2. Step 2: Convert to fraction form
    215.24/296.84 = 162.05/x
  3. Step 3: Cross multiply
    215.24x = 296.84 × 162.05
  4. Step 4: Simplify right side
    215.24x = 48,100.63
  5. Step 5: Solve for x
    x = 48,100.63/215.24
  6. Step 6: Final answer
    x = 223.48

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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.