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Finding the Fourth Proportional to 316.12, 435.18 and 253.48

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Solution

The fourth proportional to 316.12, 435.18 and 253.48 is: 348.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.12 : 435.18 = 253.48 : x
  2. Step 2: Convert to fraction form
    316.12/435.18 = 253.48/x
  3. Step 3: Cross multiply
    316.12x = 435.18 × 253.48
  4. Step 4: Simplify right side
    316.12x = 110,309.43
  5. Step 5: Solve for x
    x = 110,309.43/316.12
  6. Step 6: Final answer
    x = 348.95

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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.