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Finding the Fourth Proportional to 316.47, 436.68 and 218.46

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Solution

The fourth proportional to 316.47, 436.68 and 218.46 is: 301.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.47 : 436.68 = 218.46 : x
  2. Step 2: Convert to fraction form
    316.47/436.68 = 218.46/x
  3. Step 3: Cross multiply
    316.47x = 436.68 × 218.46
  4. Step 4: Simplify right side
    316.47x = 95,397.11
  5. Step 5: Solve for x
    x = 95,397.11/316.47
  6. Step 6: Final answer
    x = 301.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.