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Finding the Fourth Proportional to 215.42, 322.38 and 154.68

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Solution

The fourth proportional to 215.42, 322.38 and 154.68 is: 231.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    215.42 : 322.38 = 154.68 : x
  2. Step 2: Convert to fraction form
    215.42/322.38 = 154.68/x
  3. Step 3: Cross multiply
    215.42x = 322.38 × 154.68
  4. Step 4: Simplify right side
    215.42x = 49,865.74
  5. Step 5: Solve for x
    x = 49,865.74/215.42
  6. Step 6: Final answer
    x = 231.48

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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.