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Finding the Fourth Proportional to 215.42, 296.90 and 166.42

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Solution

The fourth proportional to 215.42, 296.90 and 166.42 is: 229.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 296.90 = 166.42 : x
  2. Step 2: Convert to fraction form
    215.42/296.90 = 166.42/x
  3. Step 3: Cross multiply
    215.42x = 296.90 × 166.42
  4. Step 4: Simplify right side
    215.42x = 49,410.10
  5. Step 5: Solve for x
    x = 49,410.10/215.42
  6. Step 6: Final answer
    x = 229.37

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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.