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Finding the Fourth Proportional to 316.90, 437.43 and 218.98

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Solution

The fourth proportional to 316.90, 437.43 and 218.98 is: 302.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.90 : 437.43 = 218.98 : x
  2. Step 2: Convert to fraction form
    316.90/437.43 = 218.98/x
  3. Step 3: Cross multiply
    316.90x = 437.43 × 218.98
  4. Step 4: Simplify right side
    316.90x = 95,788.42
  5. Step 5: Solve for x
    x = 95,788.42/316.90
  6. Step 6: Final answer
    x = 302.27

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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.