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Finding the Fourth Proportional to 218.84, 328.40 and 150.42

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Solution

The fourth proportional to 218.84, 328.40 and 150.42 is: 225.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218.84 : 328.40 = 150.42 : x
  2. Step 2: Convert to fraction form
    218.84/328.40 = 150.42/x
  3. Step 3: Cross multiply
    218.84x = 328.40 × 150.42
  4. Step 4: Simplify right side
    218.84x = 49,397.93
  5. Step 5: Solve for x
    x = 49,397.93/218.84
  6. Step 6: Final answer
    x = 225.73

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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.