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Finding the Fourth Proportional to 237.84, 358.51 and 218.09

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Solution

The fourth proportional to 237.84, 358.51 and 218.09 is: 328.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.84 : 358.51 = 218.09 : x
  2. Step 2: Convert to fraction form
    237.84/358.51 = 218.09/x
  3. Step 3: Cross multiply
    237.84x = 358.51 × 218.09
  4. Step 4: Simplify right side
    237.84x = 78,189.90
  5. Step 5: Solve for x
    x = 78,189.90/237.84
  6. Step 6: Final answer
    x = 328.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.